T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature (London) 446, 52 (2007).

[CrossRef]

A. A. Sukhorukov, “Enhanced soliton transport in quasiperiodic lattices with introduced aperiodicity,” Phys. Rev. Lett. 96, 113902 (2006).

[CrossRef]
[PubMed]

Y. J. Yun, I. C. Baek, and M. Y. Choi, “Phase transition and critical dynamics in site-diluted Josephson-junction arrays,” Phys. Rev. Lett. 97, 215701 (2006).

[CrossRef]
[PubMed]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

V. I. Kozub, A. A. Zyuzin, Y. M. Galperin, and V. Vinokur, “Charge transfer between a superconductor and a hopping insulator,” Phys. Rev. Lett. 96, 107004 (2006).

[CrossRef]
[PubMed]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Oscillations of two-dimensional solitons in harmonic and Bessel optical lattices,” Phys. Rev. E 71, 036621 (2005).

[CrossRef]

R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, “Localization of matter waves in twodimensional disordered optical potentials,” Phys. Rev. Lett. 95, 250403 (2005).

[CrossRef]
[PubMed]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

U. Gavish and Y. Castin, “Matter-wave localization in disordered cold atom lattices,” Phys. Rev. Lett. 95, 020401 (2005).

[CrossRef]
[PubMed]

Y. V. Kartashov and V. A. Vysloukh, “Anderson localization of solitons in optical lattices with random frequency modulation,” Phys. Rev. E 72, 026606 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton control in chirped photonic lattices,” J. Opt. Soc. Am. B 22, 1356 (2005).

[CrossRef]

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, “Spatial soliton switching in quasi-continuous optical arrays,” Opt. Lett. 29, 766 (2004).

[CrossRef]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831 (2004).

[CrossRef]
[PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices” Phys. Rev. Lett. 92, 123902 (2004).

[CrossRef]
[PubMed]

A. P. Vinogradov and A. M. Merzlikin, “Band theory of light localization in one-dimensional disordered systems,” Phys. Rev. E 70, 026610 (2004).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

P G. Kevrekidis, Y. S. Kivshar, and A. S. Kovalev, “Instabilities and bifurcations of nonlinear impurity modes,” Phys. Rev. E 67, 046604 (2003).

[CrossRef]

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Transition radiation by matter-wave solitons in optical lattices,” Phys. Rev. Lett. 91, 260402 (2003).

[CrossRef]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, “Spatial solitons in optically induced gratings,” Opt. Lett. 28, 710 (2003).

[CrossRef]
[PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90, 023902 (2003).

[CrossRef]
[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147 (2003).

[CrossRef]
[PubMed]

E. Yablonovitch, “Photonic crystals: Semiconductors of light,” Scientific American 285, 47 (2001).

[CrossRef]

J. Garnier, “Propagation of solitons in a randomly perturbed Ablowitz-Ladik chain,” Phys. Rev. E 62, 026608 (2001).

[CrossRef]

Y. A. Vlasov, M. A. Kaliteevski, and V. V. Nikolaev, “Different regimes of light localization in a disordered photonic crystal,” Phys. Rev. B 60, 1555 (1999).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752 (1999).

[CrossRef]

Y. B. Gaididei, D. Hendriksen, P. L. Christiansen, and K. O. Rasmussen, “Stationary states of the two-dimensional nonlinear Schrodinger model with disorder,” Phys. Rev. B 58, 3075 (1998).

[CrossRef]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

J. D. Joannopoulos, “Photonic-bandgap microcavities in optical waveguides,” Nature 386, 143 (1997).

[CrossRef]

V. A. Hopkins, J. Keat, G. D. Meegan, T. M. Zhang, and J. D. Maynard, “Observation of the predicted behavior of nonlinear pulse propagation in disordered media,” Phys. Rev. Lett. 76, 1102 (1996).

[CrossRef]
[PubMed]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous discrete nonlinear Schrödinger system,” Phys. Rev. E 53, 6476 (1996).

[CrossRef]

R. Knapp, “Transmission of solitons through random-media,” Physica D 85, 496 (1995).

[CrossRef]

Y. S. Kivshar and D. K. Campbell, “Peierls-Nabarro potential barrier for highly localized nonlinear modes,” Phys. Rev. E 48, 3077 (1993).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563 (1993).

[CrossRef]

R. Scharf and A. R. Bishop, “Properties of the nonlinear Schrödinger equation on a lattice,” Phys. Rev. A 43, 6535 (1991).

[CrossRef]
[PubMed]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693 (1990).

[CrossRef]
[PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059 (1987).

[CrossRef]
[PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486 (1987).

[CrossRef]
[PubMed]

B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors, Springer Series in Solid-State Sciences (Springer, Berlin, 1984).

F. Abdullaev, Theory of Solitons in Inhomogeneous Media (Wiley, New York, 1994).

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

Y. J. Yun, I. C. Baek, and M. Y. Choi, “Phase transition and critical dynamics in site-diluted Josephson-junction arrays,” Phys. Rev. Lett. 97, 215701 (2006).

[CrossRef]
[PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature (London) 446, 52 (2007).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous discrete nonlinear Schrödinger system,” Phys. Rev. E 53, 6476 (1996).

[CrossRef]

R. Scharf and A. R. Bishop, “Properties of the nonlinear Schrödinger equation on a lattice,” Phys. Rev. A 43, 6535 (1991).

[CrossRef]
[PubMed]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752 (1999).

[CrossRef]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous discrete nonlinear Schrödinger system,” Phys. Rev. E 53, 6476 (1996).

[CrossRef]

Y. S. Kivshar and D. K. Campbell, “Peierls-Nabarro potential barrier for highly localized nonlinear modes,” Phys. Rev. E 48, 3077 (1993).

[CrossRef]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90, 023902 (2003).

[CrossRef]
[PubMed]

U. Gavish and Y. Castin, “Matter-wave localization in disordered cold atom lattices,” Phys. Rev. Lett. 95, 020401 (2005).

[CrossRef]
[PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices” Phys. Rev. Lett. 92, 123902 (2004).

[CrossRef]
[PubMed]

Y. J. Yun, I. C. Baek, and M. Y. Choi, “Phase transition and critical dynamics in site-diluted Josephson-junction arrays,” Phys. Rev. Lett. 97, 215701 (2006).

[CrossRef]
[PubMed]

Y. B. Gaididei, D. Hendriksen, P. L. Christiansen, and K. O. Rasmussen, “Stationary states of the two-dimensional nonlinear Schrodinger model with disorder,” Phys. Rev. B 58, 3075 (1998).

[CrossRef]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices” Phys. Rev. Lett. 92, 123902 (2004).

[CrossRef]
[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147 (2003).

[CrossRef]
[PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90, 023902 (2003).

[CrossRef]
[PubMed]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563 (1993).

[CrossRef]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752 (1999).

[CrossRef]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, “Localization of matter waves in twodimensional disordered optical potentials,” Phys. Rev. Lett. 95, 250403 (2005).

[CrossRef]
[PubMed]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90, 023902 (2003).

[CrossRef]
[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147 (2003).

[CrossRef]
[PubMed]

B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors, Springer Series in Solid-State Sciences (Springer, Berlin, 1984).

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752 (1999).

[CrossRef]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices” Phys. Rev. Lett. 92, 123902 (2004).

[CrossRef]
[PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature (London) 446, 52 (2007).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147 (2003).

[CrossRef]
[PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90, 023902 (2003).

[CrossRef]
[PubMed]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

Y. B. Gaididei, D. Hendriksen, P. L. Christiansen, and K. O. Rasmussen, “Stationary states of the two-dimensional nonlinear Schrodinger model with disorder,” Phys. Rev. B 58, 3075 (1998).

[CrossRef]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

V. I. Kozub, A. A. Zyuzin, Y. M. Galperin, and V. Vinokur, “Charge transfer between a superconductor and a hopping insulator,” Phys. Rev. Lett. 96, 107004 (2006).

[CrossRef]
[PubMed]

J. Garnier, “Propagation of solitons in a randomly perturbed Ablowitz-Ladik chain,” Phys. Rev. E 62, 026608 (2001).

[CrossRef]

U. Gavish and Y. Castin, “Matter-wave localization in disordered cold atom lattices,” Phys. Rev. Lett. 95, 020401 (2005).

[CrossRef]
[PubMed]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693 (1990).

[CrossRef]
[PubMed]

G. R. Grimmett, Percolation (Springer, Berlin, 1999).

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous discrete nonlinear Schrödinger system,” Phys. Rev. E 53, 6476 (1996).

[CrossRef]

Y. B. Gaididei, D. Hendriksen, P. L. Christiansen, and K. O. Rasmussen, “Stationary states of the two-dimensional nonlinear Schrodinger model with disorder,” Phys. Rev. B 58, 3075 (1998).

[CrossRef]

V. A. Hopkins, J. Keat, G. D. Meegan, T. M. Zhang, and J. D. Maynard, “Observation of the predicted behavior of nonlinear pulse propagation in disordered media,” Phys. Rev. Lett. 76, 1102 (1996).

[CrossRef]
[PubMed]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

J. D. Joannopoulos, “Photonic-bandgap microcavities in optical waveguides,” Nature 386, 143 (1997).

[CrossRef]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486 (1987).

[CrossRef]
[PubMed]

Y. A. Vlasov, M. A. Kaliteevski, and V. V. Nikolaev, “Different regimes of light localization in a disordered photonic crystal,” Phys. Rev. B 60, 1555 (1999).

[CrossRef]

Y. V. Kartashov and V. A. Vysloukh, “Anderson localization of solitons in optical lattices with random frequency modulation,” Phys. Rev. E 72, 026606 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton control in chirped photonic lattices,” J. Opt. Soc. Am. B 22, 1356 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Oscillations of two-dimensional solitons in harmonic and Bessel optical lattices,” Phys. Rev. E 71, 036621 (2005).

[CrossRef]

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, “Spatial soliton switching in quasi-continuous optical arrays,” Opt. Lett. 29, 766 (2004).

[CrossRef]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831 (2004).

[CrossRef]
[PubMed]

V. A. Hopkins, J. Keat, G. D. Meegan, T. M. Zhang, and J. D. Maynard, “Observation of the predicted behavior of nonlinear pulse propagation in disordered media,” Phys. Rev. Lett. 76, 1102 (1996).

[CrossRef]
[PubMed]

P G. Kevrekidis, Y. S. Kivshar, and A. S. Kovalev, “Instabilities and bifurcations of nonlinear impurity modes,” Phys. Rev. E 67, 046604 (2003).

[CrossRef]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

P G. Kevrekidis, Y. S. Kivshar, and A. S. Kovalev, “Instabilities and bifurcations of nonlinear impurity modes,” Phys. Rev. E 67, 046604 (2003).

[CrossRef]

Y. S. Kivshar and D. K. Campbell, “Peierls-Nabarro potential barrier for highly localized nonlinear modes,” Phys. Rev. E 48, 3077 (1993).

[CrossRef]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693 (1990).

[CrossRef]
[PubMed]

R. Knapp, “Transmission of solitons through random-media,” Physica D 85, 496 (1995).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous discrete nonlinear Schrödinger system,” Phys. Rev. E 53, 6476 (1996).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563 (1993).

[CrossRef]

P G. Kevrekidis, Y. S. Kivshar, and A. S. Kovalev, “Instabilities and bifurcations of nonlinear impurity modes,” Phys. Rev. E 67, 046604 (2003).

[CrossRef]

V. I. Kozub, A. A. Zyuzin, Y. M. Galperin, and V. Vinokur, “Charge transfer between a superconductor and a hopping insulator,” Phys. Rev. Lett. 96, 107004 (2006).

[CrossRef]
[PubMed]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, “Spatial solitons in optically induced gratings,” Opt. Lett. 28, 710 (2003).

[CrossRef]
[PubMed]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, “Localization of matter waves in twodimensional disordered optical potentials,” Phys. Rev. Lett. 95, 250403 (2005).

[CrossRef]
[PubMed]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752 (1999).

[CrossRef]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices” Phys. Rev. Lett. 92, 123902 (2004).

[CrossRef]
[PubMed]

V. A. Hopkins, J. Keat, G. D. Meegan, T. M. Zhang, and J. D. Maynard, “Observation of the predicted behavior of nonlinear pulse propagation in disordered media,” Phys. Rev. Lett. 76, 1102 (1996).

[CrossRef]
[PubMed]

V. A. Hopkins, J. Keat, G. D. Meegan, T. M. Zhang, and J. D. Maynard, “Observation of the predicted behavior of nonlinear pulse propagation in disordered media,” Phys. Rev. Lett. 76, 1102 (1996).

[CrossRef]
[PubMed]

A. P. Vinogradov and A. M. Merzlikin, “Band theory of light localization in one-dimensional disordered systems,” Phys. Rev. E 70, 026610 (2004).

[CrossRef]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, “Localization of matter waves in twodimensional disordered optical potentials,” Phys. Rev. Lett. 95, 250403 (2005).

[CrossRef]
[PubMed]

R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, “Localization of matter waves in twodimensional disordered optical potentials,” Phys. Rev. Lett. 95, 250403 (2005).

[CrossRef]
[PubMed]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

Y. A. Vlasov, M. A. Kaliteevski, and V. V. Nikolaev, “Different regimes of light localization in a disordered photonic crystal,” Phys. Rev. B 60, 1555 (1999).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752 (1999).

[CrossRef]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

Y. B. Gaididei, D. Hendriksen, P. L. Christiansen, and K. O. Rasmussen, “Stationary states of the two-dimensional nonlinear Schrodinger model with disorder,” Phys. Rev. B 58, 3075 (1998).

[CrossRef]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Transition radiation by matter-wave solitons in optical lattices,” Phys. Rev. Lett. 91, 260402 (2003).

[CrossRef]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous discrete nonlinear Schrödinger system,” Phys. Rev. E 53, 6476 (1996).

[CrossRef]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693 (1990).

[CrossRef]
[PubMed]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

R. Scharf and A. R. Bishop, “Properties of the nonlinear Schrödinger equation on a lattice,” Phys. Rev. A 43, 6535 (1991).

[CrossRef]
[PubMed]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature (London) 446, 52 (2007).

[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature (London) 446, 52 (2007).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147 (2003).

[CrossRef]
[PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90, 023902 (2003).

[CrossRef]
[PubMed]

B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors, Springer Series in Solid-State Sciences (Springer, Berlin, 1984).

R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, “Localization of matter waves in twodimensional disordered optical potentials,” Phys. Rev. Lett. 95, 250403 (2005).

[CrossRef]
[PubMed]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Transition radiation by matter-wave solitons in optical lattices,” Phys. Rev. Lett. 91, 260402 (2003).

[CrossRef]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

A. A. Sukhorukov, “Enhanced soliton transport in quasiperiodic lattices with introduced aperiodicity,” Phys. Rev. Lett. 96, 113902 (2006).

[CrossRef]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton control in chirped photonic lattices,” J. Opt. Soc. Am. B 22, 1356 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Oscillations of two-dimensional solitons in harmonic and Bessel optical lattices,” Phys. Rev. E 71, 036621 (2005).

[CrossRef]

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, “Spatial soliton switching in quasi-continuous optical arrays,” Opt. Lett. 29, 766 (2004).

[CrossRef]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831 (2004).

[CrossRef]
[PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563 (1993).

[CrossRef]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693 (1990).

[CrossRef]
[PubMed]

A. P. Vinogradov and A. M. Merzlikin, “Band theory of light localization in one-dimensional disordered systems,” Phys. Rev. E 70, 026610 (2004).

[CrossRef]

V. I. Kozub, A. A. Zyuzin, Y. M. Galperin, and V. Vinokur, “Charge transfer between a superconductor and a hopping insulator,” Phys. Rev. Lett. 96, 107004 (2006).

[CrossRef]
[PubMed]

Y. A. Vlasov, M. A. Kaliteevski, and V. V. Nikolaev, “Different regimes of light localization in a disordered photonic crystal,” Phys. Rev. B 60, 1555 (1999).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton control in chirped photonic lattices,” J. Opt. Soc. Am. B 22, 1356 (2005).

[CrossRef]

Y. V. Kartashov and V. A. Vysloukh, “Anderson localization of solitons in optical lattices with random frequency modulation,” Phys. Rev. E 72, 026606 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Oscillations of two-dimensional solitons in harmonic and Bessel optical lattices,” Phys. Rev. E 71, 036621 (2005).

[CrossRef]

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, “Spatial soliton switching in quasi-continuous optical arrays,” Opt. Lett. 29, 766 (2004).

[CrossRef]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831 (2004).

[CrossRef]
[PubMed]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

E. Yablonovitch, “Photonic crystals: Semiconductors of light,” Scientific American 285, 47 (2001).

[CrossRef]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059 (1987).

[CrossRef]
[PubMed]

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Transition radiation by matter-wave solitons in optical lattices,” Phys. Rev. Lett. 91, 260402 (2003).

[CrossRef]

Y. J. Yun, I. C. Baek, and M. Y. Choi, “Phase transition and critical dynamics in site-diluted Josephson-junction arrays,” Phys. Rev. Lett. 97, 215701 (2006).

[CrossRef]
[PubMed]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

V. A. Hopkins, J. Keat, G. D. Meegan, T. M. Zhang, and J. D. Maynard, “Observation of the predicted behavior of nonlinear pulse propagation in disordered media,” Phys. Rev. Lett. 76, 1102 (1996).

[CrossRef]
[PubMed]

V. I. Kozub, A. A. Zyuzin, Y. M. Galperin, and V. Vinokur, “Charge transfer between a superconductor and a hopping insulator,” Phys. Rev. Lett. 96, 107004 (2006).

[CrossRef]
[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147 (2003).

[CrossRef]
[PubMed]

J. D. Joannopoulos, “Photonic-bandgap microcavities in optical waveguides,” Nature 386, 143 (1997).

[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature (London) 446, 52 (2007).

[CrossRef]

D. Clement, A. F. Varon, J. A. Retter, L. Sanchez-Palencia, A. Aspect, and P. Bouyer, “Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle,” New J. Phys. 8, 165 (2006).

[CrossRef]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, “Spatial solitons in optically induced gratings,” Opt. Lett. 28, 710 (2003).

[CrossRef]
[PubMed]

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, “Spatial soliton switching in quasi-continuous optical arrays,” Opt. Lett. 29, 766 (2004).

[CrossRef]
[PubMed]

R. Scharf and A. R. Bishop, “Properties of the nonlinear Schrödinger equation on a lattice,” Phys. Rev. A 43, 6535 (1991).

[CrossRef]
[PubMed]

Y. A. Vlasov, M. A. Kaliteevski, and V. V. Nikolaev, “Different regimes of light localization in a disordered photonic crystal,” Phys. Rev. B 60, 1555 (1999).

[CrossRef]

P. L. Christiansen, Y. B. Gaididei, M. Johansson, K. O. Rasmussen, D. Usero, and L. Vazquez, “Stabilization of nonlinear excitations by disorder,” Phys. Rev. B 56, 14407 (1997).

[CrossRef]

Y. B. Gaididei, D. Hendriksen, P. L. Christiansen, and K. O. Rasmussen, “Stationary states of the two-dimensional nonlinear Schrodinger model with disorder,” Phys. Rev. B 58, 3075 (1998).

[CrossRef]

J. Garnier, “Propagation of solitons in a randomly perturbed Ablowitz-Ladik chain,” Phys. Rev. E 62, 026608 (2001).

[CrossRef]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous discrete nonlinear Schrödinger system,” Phys. Rev. E 53, 6476 (1996).

[CrossRef]

P G. Kevrekidis, Y. S. Kivshar, and A. S. Kovalev, “Instabilities and bifurcations of nonlinear impurity modes,” Phys. Rev. E 67, 046604 (2003).

[CrossRef]

A. P. Vinogradov and A. M. Merzlikin, “Band theory of light localization in one-dimensional disordered systems,” Phys. Rev. E 70, 026610 (2004).

[CrossRef]

Y. V. Kartashov and V. A. Vysloukh, “Anderson localization of solitons in optical lattices with random frequency modulation,” Phys. Rev. E 72, 026606 (2005).

[CrossRef]

V. V. Konotop, O. A. Chubykalo, and L. Vazquez, “Dynamics and interaction of solitons on an integrable inhomogeneous lattice,” Phys. Rev. E 48, 563 (1993).

[CrossRef]

Y. S. Kivshar and D. K. Campbell, “Peierls-Nabarro potential barrier for highly localized nonlinear modes,” Phys. Rev. E 48, 3077 (1993).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Oscillations of two-dimensional solitons in harmonic and Bessel optical lattices,” Phys. Rev. E 71, 036621 (2005).

[CrossRef]

A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Transition radiation by matter-wave solitons in optical lattices,” Phys. Rev. Lett. 91, 260402 (2003).

[CrossRef]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059 (1987).

[CrossRef]
[PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486 (1987).

[CrossRef]
[PubMed]

S. Das Sarma, M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, “Two-dimensional metal-insulator transition as a percolation transition in a high-mobility electron system,” Phys. Rev. Lett. 94, 136401 (2005).

[CrossRef]
[PubMed]

Y. J. Yun, I. C. Baek, and M. Y. Choi, “Phase transition and critical dynamics in site-diluted Josephson-junction arrays,” Phys. Rev. Lett. 97, 215701 (2006).

[CrossRef]
[PubMed]

G. Allison, E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, “Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition,” Phys. Rev. Lett. 96, 216407 (2006).

[CrossRef]
[PubMed]

V. I. Kozub, A. A. Zyuzin, Y. M. Galperin, and V. Vinokur, “Charge transfer between a superconductor and a hopping insulator,” Phys. Rev. Lett. 96, 107004 (2006).

[CrossRef]
[PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90, 023902 (2003).

[CrossRef]
[PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752 (1999).

[CrossRef]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903 (2006).

[CrossRef]
[PubMed]

H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006).

[CrossRef]
[PubMed]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693 (1990).

[CrossRef]
[PubMed]

V. A. Hopkins, J. Keat, G. D. Meegan, T. M. Zhang, and J. D. Maynard, “Observation of the predicted behavior of nonlinear pulse propagation in disordered media,” Phys. Rev. Lett. 76, 1102 (1996).

[CrossRef]
[PubMed]

A. A. Sukhorukov, “Enhanced soliton transport in quasiperiodic lattices with introduced aperiodicity,” Phys. Rev. Lett. 96, 113902 (2006).

[CrossRef]
[PubMed]

R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, “Localization of matter waves in twodimensional disordered optical potentials,” Phys. Rev. Lett. 95, 250403 (2005).

[CrossRef]
[PubMed]

T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, “Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices,” Phys. Rev. Lett. 95, 170411 (2005).

[CrossRef]
[PubMed]

U. Gavish and Y. Castin, “Matter-wave localization in disordered cold atom lattices,” Phys. Rev. Lett. 95, 020401 (2005).

[CrossRef]
[PubMed]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]
[PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices” Phys. Rev. Lett. 92, 123902 (2004).

[CrossRef]
[PubMed]

R. Knapp, “Transmission of solitons through random-media,” Physica D 85, 496 (1995).

[CrossRef]

E. Yablonovitch, “Photonic crystals: Semiconductors of light,” Scientific American 285, 47 (2001).

[CrossRef]

G. R. Grimmett, Percolation (Springer, Berlin, 1999).

B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors, Springer Series in Solid-State Sciences (Springer, Berlin, 1984).

Fluctuation Phenomena: Disorder and Nonlinearity, Ed. by A. R. Bishop, S. Jimenez, and L. Vazquez (World Scientific, Singapore, 1995).

Nonlinearity with Disorder, Ed. by F. Kh. Abdullaev, A. R. Bishop, S. Pnevmatikos, and E. N. Economou (Springer, Berlin, 1992).

[CrossRef]

F. Abdullaev, Theory of Solitons in Inhomogeneous Media (Wiley, New York, 1994).