X. Wang, Z. Chen, and P. G. Kevrekidis, "Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices," Phys. Rev. Lett. 96, 083904 (2006).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005).

[Crossref]
[PubMed]

B. A. Malomed, T. Mayteevarunyoo, E. A. Ostrovskaya, and Y. S. Kivshar, "Coupled-mode theory for spatial gap solitons in optically induced lattices," Phys. Rev. E 71, 056616 (2005).

[Crossref]

Y. Leitner and B. A. Malomed, "Stability of double-peaked solitons in Bragg gratings with the quadratic nonlinearity," Phys. Rev. E 71, 057601 (2005).

[Crossref]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Matter-wave solitons in radially periodic potentials," Phys. Rev. A 70, 053613 (2004).

[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093904 (2004).

[Crossref]
[PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).

[Crossref]
[PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).

[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]

P. G. Kevrekidis, B. A. Malomed, and Z. Musslimani, "Discrete gap solitons in a diffraction-managed waveguide array," Eur. Phys. J. D 23, 421-236 (2003).

[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003).

[Crossref]
[PubMed]

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, 147-150 (2003).

[Crossref]
[PubMed]

M. Belic, Ph. Jander, A. Strinic, A. Desyatnikov, andC. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025601 (2003).

[Crossref]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).

[Crossref]
[PubMed]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Formation of a standing-light pulse through collision of gap solitons," Phys. Rev. E 68, 026609 (2003).

[Crossref]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).

[Crossref]

O. Cohen, T. Carmon, M. Segev, and S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031-2033 (2002).

[Crossref]

A. A. Sukhorukov and Yu. S. Kivshar, "Discrete gap solitons in modulated waveguide arrays," Opt. Lett. 27, 2112-2114 (2002).

[Crossref]

J. Atai and B. A. Malomed, "Families of Bragg-grating solitons in a cubic-quintic medium," Phys. Lett. A 155, 247-252 (2001).

[Crossref]

B. J. Eggleton, C. M. De Sterke, and R. E. Slusher, "Bragg solitons in the nonlinear Schrödinger limit: experiment and theory," J. Opt. Soc. Am. B 16, 587-599 (1999).

[Crossref]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296-299 (1999).

[Crossref]

I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya, "Vibrations and oscillatory instabilities of gap solitons," Phys. Rev. Lett. 80, 5117-5120 (1998).

[Crossref]

A. De Rossi, C. Conti, and S. Trillo, "Stability, multistability, and wobbling of optical gap solitons," Phys. Rev. Lett. 81, 85-88 (1998).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Three-wave gap solitons in waveguides with quadratic nonlinearity," Phys. Rev. E 58, 6708-6722 (1998).

[Crossref]

S. Lan, M. Shih, and M. Segev, "Self-trapping of one-dimensional and two-dimensional optical beams and induced waveguides in photorefractive KNbO3," Opt. Lett. 22, 1467-1469 (1997).

[Crossref]

T. Peschel, U. Peschel, F. Lederer, and B. A. Malomed, "Solitary waves in Bragg gratings with a quadratic nonlinearity," Phys. Rev. E 55, 4730-4739 (1997).

[Crossref]

N. M. Litchinitser, B. J. Eggleton, and D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: theoretical model and design criteria for nearly ideal pulse recompression," J. Lightwave Technol. 15, 1303-1313 (1997).

[Crossref]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

[Crossref]
[PubMed]

Yu. S. Kivshar, "Gap solitons due to cascading," Phys. Rev. E 51, 1613--1615 (1995).

[Crossref]

B. A. Malomed and R. S. Tasgal, "Vibration modes of a gap soliton in a nonlinear optical medium," Phys. Rev. E 49, 5787-5796 (1994).

[Crossref]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

J. Feng, "Alternative scheme for studying gap solitons in an infinite periodic Kerr medium," Opt. Lett. 18, 1302-1304 (1993).

[Crossref]
[PubMed]

R. F. Nabiev, P. Yeh, and D. Botez, "Spatial gap solitons in periodic nonlinear structures," Opt. Lett. 18, 1612-1614 (1993).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992).

[Crossref]
[PubMed]

A. B. Aceves and S. Wabnitz, "Self-induced transparency solitons in nonlinear refractive periodic media," Phys. Lett. A 141, 37-42 (1989).

[Crossref]

D. N. Christodoulides and R. I. Joseph, "Slow Bragg solitons in nonlinear periodic structure," Phys. Rev. Lett. 62, 1746-1749 (1989).

[Crossref]
[PubMed]

M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Sov. J. Radiophys. Quantum Electr. 16, 783-789 (1973) M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation,"[Izv. Vuz. Radiofiz. 16, 1020-1028 (1973)].

[Crossref]

M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Sov. J. Radiophys. Quantum Electr. 16, 783-789 (1973) M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation,"[Izv. Vuz. Radiofiz. 16, 1020-1028 (1973)].

[Crossref]

A. B. Aceves and S. Wabnitz, "Self-induced transparency solitons in nonlinear refractive periodic media," Phys. Lett. A 141, 37-42 (1989).

[Crossref]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003).

[Crossref]
[PubMed]

J. Atai and B. A. Malomed, "Families of Bragg-grating solitons in a cubic-quintic medium," Phys. Lett. A 155, 247-252 (2001).

[Crossref]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Matter-wave solitons in radially periodic potentials," Phys. Rev. A 70, 053613 (2004).

[Crossref]

I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya, "Vibrations and oscillatory instabilities of gap solitons," Phys. Rev. Lett. 80, 5117-5120 (1998).

[Crossref]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

M. Belic, Ph. Jander, A. Strinic, A. Desyatnikov, andC. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025601 (2003).

[Crossref]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (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]

O. Cohen, T. Carmon, M. Segev, and S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031-2033 (2002).

[Crossref]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

X. Wang, Z. Chen, and P. G. Kevrekidis, "Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices," Phys. Rev. Lett. 96, 083904 (2006).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[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]

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, 147-150 (2003).

[Crossref]
[PubMed]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).

[Crossref]
[PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).

[Crossref]

D. N. Christodoulides and R. I. Joseph, "Slow Bragg solitons in nonlinear periodic structure," Phys. Rev. Lett. 62, 1746-1749 (1989).

[Crossref]
[PubMed]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Formation of a standing-light pulse through collision of gap solitons," Phys. Rev. E 68, 026609 (2003).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Three-wave gap solitons in waveguides with quadratic nonlinearity," Phys. Rev. E 58, 6708-6722 (1998).

[Crossref]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).

[Crossref]
[PubMed]

O. Cohen, T. Carmon, M. Segev, and S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031-2033 (2002).

[Crossref]

A. De Rossi, C. Conti, and S. Trillo, "Stability, multistability, and wobbling of optical gap solitons," Phys. Rev. Lett. 81, 85-88 (1998).

[Crossref]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992).

[Crossref]
[PubMed]

A. De Rossi, C. Conti, and S. Trillo, "Stability, multistability, and wobbling of optical gap solitons," Phys. Rev. Lett. 81, 85-88 (1998).

[Crossref]

B. J. Eggleton, C. M. De Sterke, and R. E. Slusher, "Bragg solitons in the nonlinear Schrödinger limit: experiment and theory," J. Opt. Soc. Am. B 16, 587-599 (1999).

[Crossref]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

[Crossref]
[PubMed]

C. M. de Sterke and J. E. Sipe, "Gap solitons," in Progress in Optics, E.Wolf, ed. (North-Holland, 1994), Vol. XXXIII, Chap. III, pp. 203-260.

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

M. Belic, Ph. Jander, A. Strinic, A. Desyatnikov, andC. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025601 (2003).

[Crossref]

M. Belic, Ph. Jander, A. Strinic, A. Desyatnikov, andC. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025601 (2003).

[Crossref]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

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, 147-150 (2003).

[Crossref]
[PubMed]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (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]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).

[Crossref]

B. J. Eggleton, C. M. De Sterke, and R. E. Slusher, "Bragg solitons in the nonlinear Schrödinger limit: experiment and theory," J. Opt. Soc. Am. B 16, 587-599 (1999).

[Crossref]

N. M. Litchinitser, B. J. Eggleton, and D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: theoretical model and design criteria for nearly ideal pulse recompression," J. Lightwave Technol. 15, 1303-1313 (1997).

[Crossref]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

[Crossref]
[PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003).

[Crossref]
[PubMed]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296-299 (1999).

[Crossref]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992).

[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]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).

[Crossref]
[PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).

[Crossref]

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, 147-150 (2003).

[Crossref]
[PubMed]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).

[Crossref]
[PubMed]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).

[Crossref]
[PubMed]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

M. Belic, Ph. Jander, A. Strinic, A. Desyatnikov, andC. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025601 (2003).

[Crossref]

D. N. Christodoulides and R. I. Joseph, "Slow Bragg solitons in nonlinear periodic structure," Phys. Rev. Lett. 62, 1746-1749 (1989).

[Crossref]
[PubMed]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093904 (2004).

[Crossref]
[PubMed]

R. Kashyap, Fiber Bragg Gratings (Academic, 1999).

X. Wang, Z. Chen, and P. G. Kevrekidis, "Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices," Phys. Rev. Lett. 96, 083904 (2006).

[Crossref]
[PubMed]

P. G. Kevrekidis, B. A. Malomed, and Z. Musslimani, "Discrete gap solitons in a diffraction-managed waveguide array," Eur. Phys. J. D 23, 421-236 (2003).

[Crossref]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

B. A. Malomed, T. Mayteevarunyoo, E. A. Ostrovskaya, and Y. S. Kivshar, "Coupled-mode theory for spatial gap solitons in optically induced lattices," Phys. Rev. E 71, 056616 (2005).

[Crossref]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296-299 (1999).

[Crossref]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).

[Crossref]
[PubMed]

A. A. Sukhorukov and Yu. S. Kivshar, "Discrete gap solitons in modulated waveguide arrays," Opt. Lett. 27, 2112-2114 (2002).

[Crossref]

Yu. S. Kivshar, "Gap solitons due to cascading," Phys. Rev. E 51, 1613--1615 (1995).

[Crossref]

M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Sov. J. Radiophys. Quantum Electr. 16, 783-789 (1973) M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation,"[Izv. Vuz. Radiofiz. 16, 1020-1028 (1973)].

[Crossref]

M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Sov. J. Radiophys. Quantum Electr. 16, 783-789 (1973) M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation,"[Izv. Vuz. Radiofiz. 16, 1020-1028 (1973)].

[Crossref]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).

[Crossref]
[PubMed]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

[Crossref]
[PubMed]

T. Peschel, U. Peschel, F. Lederer, and B. A. Malomed, "Solitary waves in Bragg gratings with a quadratic nonlinearity," Phys. Rev. E 55, 4730-4739 (1997).

[Crossref]

Y. Leitner and B. A. Malomed, "Stability of double-peaked solitons in Bragg gratings with the quadratic nonlinearity," Phys. Rev. E 71, 057601 (2005).

[Crossref]

N. M. Litchinitser, B. J. Eggleton, and D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: theoretical model and design criteria for nearly ideal pulse recompression," J. Lightwave Technol. 15, 1303-1313 (1997).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Formation of a standing-light pulse through collision of gap solitons," Phys. Rev. E 68, 026609 (2003).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Three-wave gap solitons in waveguides with quadratic nonlinearity," Phys. Rev. E 58, 6708-6722 (1998).

[Crossref]

Y. Leitner and B. A. Malomed, "Stability of double-peaked solitons in Bragg gratings with the quadratic nonlinearity," Phys. Rev. E 71, 057601 (2005).

[Crossref]

B. A. Malomed, T. Mayteevarunyoo, E. A. Ostrovskaya, and Y. S. Kivshar, "Coupled-mode theory for spatial gap solitons in optically induced lattices," Phys. Rev. E 71, 056616 (2005).

[Crossref]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Matter-wave solitons in radially periodic potentials," Phys. Rev. A 70, 053613 (2004).

[Crossref]

P. G. Kevrekidis, B. A. Malomed, and Z. Musslimani, "Discrete gap solitons in a diffraction-managed waveguide array," Eur. Phys. J. D 23, 421-236 (2003).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Formation of a standing-light pulse through collision of gap solitons," Phys. Rev. E 68, 026609 (2003).

[Crossref]

J. Atai and B. A. Malomed, "Families of Bragg-grating solitons in a cubic-quintic medium," Phys. Lett. A 155, 247-252 (2001).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Three-wave gap solitons in waveguides with quadratic nonlinearity," Phys. Rev. E 58, 6708-6722 (1998).

[Crossref]

T. Peschel, U. Peschel, F. Lederer, and B. A. Malomed, "Solitary waves in Bragg gratings with a quadratic nonlinearity," Phys. Rev. E 55, 4730-4739 (1997).

[Crossref]

B. A. Malomed and R. S. Tasgal, "Vibration modes of a gap soliton in a nonlinear optical medium," Phys. Rev. E 49, 5787-5796 (1994).

[Crossref]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003).

[Crossref]
[PubMed]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

B. A. Malomed, T. Mayteevarunyoo, E. A. Ostrovskaya, and Y. S. Kivshar, "Coupled-mode theory for spatial gap solitons in optically induced lattices," Phys. Rev. E 71, 056616 (2005).

[Crossref]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003).

[Crossref]
[PubMed]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

P. G. Kevrekidis, B. A. Malomed, and Z. Musslimani, "Discrete gap solitons in a diffraction-managed waveguide array," Eur. Phys. J. D 23, 421-236 (2003).

[Crossref]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).

[Crossref]
[PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

B. A. Malomed, T. Mayteevarunyoo, E. A. Ostrovskaya, and Y. S. Kivshar, "Coupled-mode theory for spatial gap solitons in optically induced lattices," Phys. Rev. E 71, 056616 (2005).

[Crossref]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296-299 (1999).

[Crossref]

N. M. Litchinitser, B. J. Eggleton, and D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: theoretical model and design criteria for nearly ideal pulse recompression," J. Lightwave Technol. 15, 1303-1313 (1997).

[Crossref]

I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya, "Vibrations and oscillatory instabilities of gap solitons," Phys. Rev. Lett. 80, 5117-5120 (1998).

[Crossref]

T. Peschel, U. Peschel, F. Lederer, and B. A. Malomed, "Solitary waves in Bragg gratings with a quadratic nonlinearity," Phys. Rev. E 55, 4730-4739 (1997).

[Crossref]

T. Peschel, U. Peschel, F. Lederer, and B. A. Malomed, "Solitary waves in Bragg gratings with a quadratic nonlinearity," Phys. Rev. E 55, 4730-4739 (1997).

[Crossref]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Matter-wave solitons in radially periodic potentials," Phys. Rev. A 70, 053613 (2004).

[Crossref]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).

[Crossref]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

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, 147-150 (2003).

[Crossref]
[PubMed]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (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]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).

[Crossref]

O. Cohen, T. Carmon, M. Segev, and S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031-2033 (2002).

[Crossref]

S. Lan, M. Shih, and M. Segev, "Self-trapping of one-dimensional and two-dimensional optical beams and induced waveguides in photorefractive KNbO3," Opt. Lett. 22, 1467-1469 (1997).

[Crossref]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992).

[Crossref]
[PubMed]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).

[Crossref]
[PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003).

[Crossref]
[PubMed]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

[Crossref]
[PubMed]

C. M. de Sterke and J. E. Sipe, "Gap solitons," in Progress in Optics, E.Wolf, ed. (North-Holland, 1994), Vol. XXXIII, Chap. III, pp. 203-260.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296-299 (1999).

[Crossref]

B. J. Eggleton, C. M. De Sterke, and R. E. Slusher, "Bragg solitons in the nonlinear Schrödinger limit: experiment and theory," J. Opt. Soc. Am. B 16, 587-599 (1999).

[Crossref]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

M. Belic, Ph. Jander, A. Strinic, A. Desyatnikov, andC. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025601 (2003).

[Crossref]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).

[Crossref]
[PubMed]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

A. A. Sukhorukov and Yu. S. Kivshar, "Discrete gap solitons in modulated waveguide arrays," Opt. Lett. 27, 2112-2114 (2002).

[Crossref]

B. A. Malomed and R. S. Tasgal, "Vibration modes of a gap soliton in a nonlinear optical medium," Phys. Rev. E 49, 5787-5796 (1994).

[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093904 (2004).

[Crossref]
[PubMed]

A. De Rossi, C. Conti, and S. Trillo, "Stability, multistability, and wobbling of optical gap solitons," Phys. Rev. Lett. 81, 85-88 (1998).

[Crossref]

M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Sov. J. Radiophys. Quantum Electr. 16, 783-789 (1973) M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation,"[Izv. Vuz. Radiofiz. 16, 1020-1028 (1973)].

[Crossref]

M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Sov. J. Radiophys. Quantum Electr. 16, 783-789 (1973) M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation,"[Izv. Vuz. Radiofiz. 16, 1020-1028 (1973)].

[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093904 (2004).

[Crossref]
[PubMed]

A. B. Aceves and S. Wabnitz, "Self-induced transparency solitons in nonlinear refractive periodic media," Phys. Lett. A 141, 37-42 (1989).

[Crossref]

X. Wang, Z. Chen, and P. G. Kevrekidis, "Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices," Phys. Rev. Lett. 96, 083904 (2006).

[Crossref]
[PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992).

[Crossref]
[PubMed]

I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya, "Vibrations and oscillatory instabilities of gap solitons," Phys. Rev. Lett. 80, 5117-5120 (1998).

[Crossref]

P. G. Kevrekidis, B. A. Malomed, and Z. Musslimani, "Discrete gap solitons in a diffraction-managed waveguide array," Eur. Phys. J. D 23, 421-236 (2003).

[Crossref]

N. M. Litchinitser, B. J. Eggleton, and D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: theoretical model and design criteria for nearly ideal pulse recompression," J. Lightwave Technol. 15, 1303-1313 (1997).

[Crossref]

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, 147-150 (2003).

[Crossref]
[PubMed]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005).

[Crossref]
[PubMed]

G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).

[Crossref]
[PubMed]

S. Lan, M. Shih, and M. Segev, "Self-trapping of one-dimensional and two-dimensional optical beams and induced waveguides in photorefractive KNbO3," Opt. Lett. 22, 1467-1469 (1997).

[Crossref]

O. Cohen, T. Carmon, M. Segev, and S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031-2033 (2002).

[Crossref]

J. Feng, "Alternative scheme for studying gap solitons in an infinite periodic Kerr medium," Opt. Lett. 18, 1302-1304 (1993).

[Crossref]
[PubMed]

R. F. Nabiev, P. Yeh, and D. Botez, "Spatial gap solitons in periodic nonlinear structures," Opt. Lett. 18, 1612-1614 (1993).

[Crossref]
[PubMed]

A. A. Sukhorukov and Yu. S. Kivshar, "Discrete gap solitons in modulated waveguide arrays," Opt. Lett. 27, 2112-2114 (2002).

[Crossref]

R. Morandotti, D. Mandelik, Y. Silberberg, J. S. Aitchison, M. Sorel, D. N. Christodoulides, A. A. Sukhorukov, and Y. S. Kivshar, "Observation of discrete gap solitons in binary waveguide arrays," Opt. Lett. 29, 2890-2892 (2004).

[Crossref]

A. B. Aceves and S. Wabnitz, "Self-induced transparency solitons in nonlinear refractive periodic media," Phys. Lett. A 141, 37-42 (1989).

[Crossref]

J. Atai and B. A. Malomed, "Families of Bragg-grating solitons in a cubic-quintic medium," Phys. Lett. A 155, 247-252 (2001).

[Crossref]

B. B. Baizakov, B. A. Malomed, and M. Salerno, "Matter-wave solitons in radially periodic potentials," Phys. Rev. A 70, 053613 (2004).

[Crossref]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Formation of a standing-light pulse through collision of gap solitons," Phys. Rev. E 68, 026609 (2003).

[Crossref]

M. Belic, Ph. Jander, A. Strinic, A. Desyatnikov, andC. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025601 (2003).

[Crossref]

K. Motzek, Ph. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003).

[Crossref]

B. A. Malomed and R. S. Tasgal, "Vibration modes of a gap soliton in a nonlinear optical medium," Phys. Rev. E 49, 5787-5796 (1994).

[Crossref]

Yu. S. Kivshar, "Gap solitons due to cascading," Phys. Rev. E 51, 1613--1615 (1995).

[Crossref]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Three-wave gap solitons in waveguides with quadratic nonlinearity," Phys. Rev. E 58, 6708-6722 (1998).

[Crossref]

T. Peschel, U. Peschel, F. Lederer, and B. A. Malomed, "Solitary waves in Bragg gratings with a quadratic nonlinearity," Phys. Rev. E 55, 4730-4739 (1997).

[Crossref]

Y. Leitner and B. A. Malomed, "Stability of double-peaked solitons in Bragg gratings with the quadratic nonlinearity," Phys. Rev. E 71, 057601 (2005).

[Crossref]

B. A. Malomed, T. Mayteevarunyoo, E. A. Ostrovskaya, and Y. S. Kivshar, "Coupled-mode theory for spatial gap solitons in optically induced lattices," Phys. Rev. E 71, 056616 (2005).

[Crossref]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296-299 (1999).

[Crossref]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003).

[Crossref]
[PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).

[Crossref]
[PubMed]

I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya, "Vibrations and oscillatory instabilities of gap solitons," Phys. Rev. Lett. 80, 5117-5120 (1998).

[Crossref]

A. De Rossi, C. Conti, and S. Trillo, "Stability, multistability, and wobbling of optical gap solitons," Phys. Rev. Lett. 81, 85-88 (1998).

[Crossref]

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

[Crossref]
[PubMed]

D. N. Christodoulides and R. I. Joseph, "Slow Bragg solitons in nonlinear periodic structure," Phys. Rev. Lett. 62, 1746-1749 (1989).

[Crossref]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992).

[Crossref]
[PubMed]

G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533-536 (1993).

[Crossref]
[PubMed]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (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]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093904 (2004).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005).

[Crossref]
[PubMed]

X. Wang, Z. Chen, and P. G. Kevrekidis, "Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices," Phys. Rev. Lett. 96, 083904 (2006).

[Crossref]
[PubMed]

M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation," Sov. J. Radiophys. Quantum Electr. 16, 783-789 (1973) M. G. Vakhitov and A. A. Kolokolov, "Stationary solutions of the wave equation in a medium with nonlinearity saturation,"[Izv. Vuz. Radiofiz. 16, 1020-1028 (1973)].

[Crossref]

R. Kashyap, Fiber Bragg Gratings (Academic, 1999).

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

C. M. de Sterke and J. E. Sipe, "Gap solitons," in Progress in Optics, E.Wolf, ed. (North-Holland, 1994), Vol. XXXIII, Chap. III, pp. 203-260.