Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattice,” Rev. Mod. Phys.83, 247–306 (2011).

[CrossRef]

G. Hwanga, T. R. Akylas, and J. Yang, “Gap solitons and their linear stability in one-dimensional periodic media,” Physica D240, 1055–1068 (2011).

[CrossRef]

O. V. Borovkova, B. A. Malomed, and Y. V. Kartashov, “Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component,” EPL92, 64001 (2010).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno, “Matter-wave vortices and solitons in anisotropic optical lattices,” Physica D238, 1439–1448 (2009).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Progr. Opt.52, 63–148 (2009).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Two-component gap solitons with linear interconversion,” Phys. Rev. A79, 015602 (2009).

[CrossRef]

S. Adhikari and B. A. Malomed, “Gap solitons in a model of a superfluid fermion gas in optical lattices,” Physica D238, 1402–1412 (2009).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media,” Phys. Rev. A78, 063812 (2008).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Symbiotic gap and semigap solitons in Bose-Einstein condensates,” Phys. Rev. A77, 023607 (2008).

[CrossRef]

M. Matuszewski, B. A. Malomed, and M. Trippenbach, “Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice,” Phys. Rev. A76, 043826 (2007).

[CrossRef]

J. Liu, S. Liu, G. Zhang, and C. Wang, “Observation of two-dimensional holographic photovoltaic bright solitons in a photorefractive-photovoltaic crystal,” Appl. Phys. Lett.91, 111113 (2007).

[CrossRef]

T. Mayteevarunyoo and B. A. Malomed, “Stability limits for gap solitons in a Bose-Einstein condensate trapped in a time-modulated optical lattice,” Phys. Rev. A74, 033616 (2006).

[CrossRef]

O. Cohen, M. M. Murnane, H. C. Kapteyn, and M. Segev, “Cross-phase-modulation nonlinearities and holographic solitons in periodically poled photovoltaic photorefractives,” Opt. Lett.31, 954–956 (2006).

[CrossRef]
[PubMed]

A. Gubeskys, B. A. Malomed, and I. M. Merhasin, “Two-component gap solitons in two- and one-dimensional Bose-Einstein condensate,” Phys. Rev. A73, 023607 (2006).

[CrossRef]

O. Morsch and M. Oberthaler, “Dynamics of Bose-Einstein condensates in optical lattices,” Rev. Mod. Phys.78, 179–215 (2006).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional semi-gap solitons in a periodic potential,” Eur. Phys. J.38, 367–374 (2006).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quant. Semicl. Opt.7, R53–R72 (2005).

[CrossRef]

V. M. Pérez-García and J. B. Beitia, “Symbiotic solitons in heteronuclear multicomponent Bose-Einstein condensates,” Phys. Rev. A72, 033620 (2005).

[CrossRef]

S. K. Adhikari, “Bright solitons in coupled defocusing NLS equation supported by coupling: Application to Bose-Einstein condensation,” Phys. Lett. A346, 179–185 (2005).

[CrossRef]

S. K. Adhikari, “Fermionic bright soliton in a boson-fermion mixture,” Phys. Rev. A72, 053608 (2005).

[CrossRef]

H. Sakaguchi and B. A. Malomed, “Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps,” J. Phys. B37, 1443–1459 (2004).

[CrossRef]

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E70, 036618 (2004).

[CrossRef]

Z. H. Musslimani and J. Yang, “Self-trapping of light in a two-dimensional photonic lattice,” J. Opt. Soc. Am. B21, 973–981 (2004).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A70, 053613 (2004).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

V. A. Brazhnyi and V. V. Konotop, “Theory of nonlinear matter waves in optical lattices,” Mod. Phys. Lett. B18, 627–651 (2004).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in periodic potentials,” Europhys. Lett.63, 642–648 (2003).

[CrossRef]

J. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett.28, 2094–2096 (2003).

[CrossRef]
[PubMed]

P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, “Bose-Einstein condensates in optical lattices: Band-gap structure and solitons,” Phys. Rev. A67, 013602 (2003).

[CrossRef]

J. R. Salgueiro, A. A. Sukhorukov, and Y. S. Kivshar, “Spatial optical solitons supported by mutual focusing,” Opt. Lett.28, 1457–1459 (2003).

N. K. Efremidis and D. N. Christodoulides, “Lattice solitons in Bose-Einstein condensates,” Phys. Rev. A67, 063608 (2003).

[CrossRef]

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

[CrossRef]

K. M. Hilligsoe, M. K. Oberthaler, and K. P. Marzlin, “Stability of gap solitons in a Bose-Einstein condensate,” Phys. Rev. A66, 063605 (2002).

[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. E66, 046602 (2002).

[CrossRef]

B. B. Baizakov, V. V. Konotop, and M. Salerno, “Regular spatial structures in arrays of Bose–Einstein condensates induced by modulational instability,” J. Phys. B: At. Mol. Opt. Phys.35, 5105–5119 (2002).

[CrossRef]

S. Adhikari and B. A. Malomed, “Gap solitons in a model of a superfluid fermion gas in optical lattices,” Physica D238, 1402–1412 (2009).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Two-component gap solitons with linear interconversion,” Phys. Rev. A79, 015602 (2009).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Symbiotic gap and semigap solitons in Bose-Einstein condensates,” Phys. Rev. A77, 023607 (2008).

[CrossRef]

S. K. Adhikari, “Bright solitons in coupled defocusing NLS equation supported by coupling: Application to Bose-Einstein condensation,” Phys. Lett. A346, 179–185 (2005).

[CrossRef]

S. K. Adhikari, “Fermionic bright soliton in a boson-fermion mixture,” Phys. Rev. A72, 053608 (2005).

[CrossRef]

G. Hwanga, T. R. Akylas, and J. Yang, “Gap solitons and their linear stability in one-dimensional periodic media,” Physica D240, 1055–1068 (2011).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno, “Matter-wave vortices and solitons in anisotropic optical lattices,” Physica D238, 1439–1448 (2009).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional semi-gap solitons in a periodic potential,” Eur. Phys. J.38, 367–374 (2006).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A70, 053613 (2004).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in periodic potentials,” Europhys. Lett.63, 642–648 (2003).

[CrossRef]

B. B. Baizakov, V. V. Konotop, and M. Salerno, “Regular spatial structures in arrays of Bose–Einstein condensates induced by modulational instability,” J. Phys. B: At. Mol. Opt. Phys.35, 5105–5119 (2002).

[CrossRef]

V. M. Pérez-García and J. B. Beitia, “Symbiotic solitons in heteronuclear multicomponent Bose-Einstein condensates,” Phys. Rev. A72, 033620 (2005).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

O. V. Borovkova, B. A. Malomed, and Y. V. Kartashov, “Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component,” EPL92, 64001 (2010).

[CrossRef]

V. A. Brazhnyi and V. V. Konotop, “Theory of nonlinear matter waves in optical lattices,” Mod. Phys. Lett. B18, 627–651 (2004).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media,” Phys. Rev. A78, 063812 (2008).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

N. K. Efremidis and D. N. Christodoulides, “Lattice solitons in Bose-Einstein condensates,” Phys. Rev. A67, 063608 (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. E66, 046602 (2002).

[CrossRef]

O. Cohen, M. M. Murnane, H. C. Kapteyn, and M. Segev, “Cross-phase-modulation nonlinearities and holographic solitons in periodically poled photovoltaic photorefractives,” Opt. Lett.31, 954–956 (2006).

[CrossRef]
[PubMed]

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

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

H. T. C. Stoof, K. B. Gubbels, and D. B. M. Dickerscheid, Ultracold Quantum Fields (Springer: Dordrecht, 2009).

N. K. Efremidis and D. N. Christodoulides, “Lattice solitons in Bose-Einstein condensates,” Phys. Rev. A67, 063608 (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. E66, 046602 (2002).

[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. E66, 046602 (2002).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

H. T. C. Stoof, K. B. Gubbels, and D. B. M. Dickerscheid, Ultracold Quantum Fields (Springer: Dordrecht, 2009).

A. Gubeskys, B. A. Malomed, and I. M. Merhasin, “Two-component gap solitons in two- and one-dimensional Bose-Einstein condensate,” Phys. Rev. A73, 023607 (2006).

[CrossRef]

K. M. Hilligsoe, M. K. Oberthaler, and K. P. Marzlin, “Stability of gap solitons in a Bose-Einstein condensate,” Phys. Rev. A66, 063605 (2002).

[CrossRef]

G. Hwanga, T. R. Akylas, and J. Yang, “Gap solitons and their linear stability in one-dimensional periodic media,” Physica D240, 1055–1068 (2011).

[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press: Princeton, 2008).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press: Princeton, 2008).

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattice,” Rev. Mod. Phys.83, 247–306 (2011).

[CrossRef]

O. V. Borovkova, B. A. Malomed, and Y. V. Kartashov, “Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component,” EPL92, 64001 (2010).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Progr. Opt.52, 63–148 (2009).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E70, 036618 (2004).

[CrossRef]

J. R. Salgueiro, A. A. Sukhorukov, and Y. S. Kivshar, “Spatial optical solitons supported by mutual focusing,” Opt. Lett.28, 1457–1459 (2003).

P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, “Bose-Einstein condensates in optical lattices: Band-gap structure and solitons,” Phys. Rev. A67, 013602 (2003).

[CrossRef]

V. A. Brazhnyi and V. V. Konotop, “Theory of nonlinear matter waves in optical lattices,” Mod. Phys. Lett. B18, 627–651 (2004).

[CrossRef]

B. B. Baizakov, V. V. Konotop, and M. Salerno, “Regular spatial structures in arrays of Bose–Einstein condensates induced by modulational instability,” J. Phys. B: At. Mol. Opt. Phys.35, 5105–5119 (2002).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

J. Liu, S. Liu, G. Zhang, and C. Wang, “Observation of two-dimensional holographic photovoltaic bright solitons in a photorefractive-photovoltaic crystal,” Appl. Phys. Lett.91, 111113 (2007).

[CrossRef]

J. Liu, S. Liu, G. Zhang, and C. Wang, “Observation of two-dimensional holographic photovoltaic bright solitons in a photorefractive-photovoltaic crystal,” Appl. Phys. Lett.91, 111113 (2007).

[CrossRef]

P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, “Bose-Einstein condensates in optical lattices: Band-gap structure and solitons,” Phys. Rev. A67, 013602 (2003).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattice,” Rev. Mod. Phys.83, 247–306 (2011).

[CrossRef]

O. V. Borovkova, B. A. Malomed, and Y. V. Kartashov, “Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component,” EPL92, 64001 (2010).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Two-component gap solitons with linear interconversion,” Phys. Rev. A79, 015602 (2009).

[CrossRef]

T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno, “Matter-wave vortices and solitons in anisotropic optical lattices,” Physica D238, 1439–1448 (2009).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

S. Adhikari and B. A. Malomed, “Gap solitons in a model of a superfluid fermion gas in optical lattices,” Physica D238, 1402–1412 (2009).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Symbiotic gap and semigap solitons in Bose-Einstein condensates,” Phys. Rev. A77, 023607 (2008).

[CrossRef]

M. Matuszewski, B. A. Malomed, and M. Trippenbach, “Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice,” Phys. Rev. A76, 043826 (2007).

[CrossRef]

T. Mayteevarunyoo and B. A. Malomed, “Stability limits for gap solitons in a Bose-Einstein condensate trapped in a time-modulated optical lattice,” Phys. Rev. A74, 033616 (2006).

[CrossRef]

A. Gubeskys, B. A. Malomed, and I. M. Merhasin, “Two-component gap solitons in two- and one-dimensional Bose-Einstein condensate,” Phys. Rev. A73, 023607 (2006).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional semi-gap solitons in a periodic potential,” Eur. Phys. J.38, 367–374 (2006).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quant. Semicl. Opt.7, R53–R72 (2005).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A70, 053613 (2004).

[CrossRef]

H. Sakaguchi and B. A. Malomed, “Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps,” J. Phys. B37, 1443–1459 (2004).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in periodic potentials,” Europhys. Lett.63, 642–648 (2003).

[CrossRef]

K. M. Hilligsoe, M. K. Oberthaler, and K. P. Marzlin, “Stability of gap solitons in a Bose-Einstein condensate,” Phys. Rev. A66, 063605 (2002).

[CrossRef]

M. Matuszewski, B. A. Malomed, and M. Trippenbach, “Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice,” Phys. Rev. A76, 043826 (2007).

[CrossRef]

T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno, “Matter-wave vortices and solitons in anisotropic optical lattices,” Physica D238, 1439–1448 (2009).

[CrossRef]

T. Mayteevarunyoo and B. A. Malomed, “Stability limits for gap solitons in a Bose-Einstein condensate trapped in a time-modulated optical lattice,” Phys. Rev. A74, 033616 (2006).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press: Princeton, 2008).

A. Gubeskys, B. A. Malomed, and I. M. Merhasin, “Two-component gap solitons in two- and one-dimensional Bose-Einstein condensate,” Phys. Rev. A73, 023607 (2006).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quant. Semicl. Opt.7, R53–R72 (2005).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

O. Morsch and M. Oberthaler, “Dynamics of Bose-Einstein condensates in optical lattices,” Rev. Mod. Phys.78, 179–215 (2006).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

O. Morsch and M. Oberthaler, “Dynamics of Bose-Einstein condensates in optical lattices,” Rev. Mod. Phys.78, 179–215 (2006).

[CrossRef]

K. M. Hilligsoe, M. K. Oberthaler, and K. P. Marzlin, “Stability of gap solitons in a Bose-Einstein condensate,” Phys. Rev. A66, 063605 (2002).

[CrossRef]

P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, “Bose-Einstein condensates in optical lattices: Band-gap structure and solitons,” Phys. Rev. A67, 013602 (2003).

[CrossRef]

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E70, 036618 (2004).

[CrossRef]

D. E. Pelinovsky, Localization in Periodic Potentials (Cambridge University Press: Cambridge, UK, 2011).

[CrossRef]

V. M. Pérez-García and J. B. Beitia, “Symbiotic solitons in heteronuclear multicomponent Bose-Einstein condensates,” Phys. Rev. A72, 033620 (2005).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

L. Pitaevskii and S. Stringari, Bose-Einstein Condensate (Clarendon Press: Oxford, 2003).

H. Sakaguchi and B. A. Malomed, “Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps,” J. Phys. B37, 1443–1459 (2004).

[CrossRef]

T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno, “Matter-wave vortices and solitons in anisotropic optical lattices,” Physica D238, 1439–1448 (2009).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional semi-gap solitons in a periodic potential,” Eur. Phys. J.38, 367–374 (2006).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A70, 053613 (2004).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in periodic potentials,” Europhys. Lett.63, 642–648 (2003).

[CrossRef]

B. B. Baizakov, V. V. Konotop, and M. Salerno, “Regular spatial structures in arrays of Bose–Einstein condensates induced by modulational instability,” J. Phys. B: At. Mol. Opt. Phys.35, 5105–5119 (2002).

[CrossRef]

P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, “Bose-Einstein condensates in optical lattices: Band-gap structure and solitons,” Phys. Rev. A67, 013602 (2003).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (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. E66, 046602 (2002).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

O. Cohen, M. M. Murnane, H. C. Kapteyn, and M. Segev, “Cross-phase-modulation nonlinearities and holographic solitons in periodically poled photovoltaic photorefractives,” Opt. Lett.31, 954–956 (2006).

[CrossRef]
[PubMed]

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

[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. E66, 046602 (2002).

[CrossRef]

Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media,” Phys. Rev. A78, 063812 (2008).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

H. T. C. Stoof, K. B. Gubbels, and D. B. M. Dickerscheid, Ultracold Quantum Fields (Springer: Dordrecht, 2009).

L. Pitaevskii and S. Stringari, Bose-Einstein Condensate (Clarendon Press: Oxford, 2003).

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E70, 036618 (2004).

[CrossRef]

J. R. Salgueiro, A. A. Sukhorukov, and Y. S. Kivshar, “Spatial optical solitons supported by mutual focusing,” Opt. Lett.28, 1457–1459 (2003).

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattice,” Rev. Mod. Phys.83, 247–306 (2011).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Progr. Opt.52, 63–148 (2009).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quant. Semicl. Opt.7, R53–R72 (2005).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

M. Matuszewski, B. A. Malomed, and M. Trippenbach, “Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice,” Phys. Rev. A76, 043826 (2007).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Progr. Opt.52, 63–148 (2009).

[CrossRef]

J. Liu, S. Liu, G. Zhang, and C. Wang, “Observation of two-dimensional holographic photovoltaic bright solitons in a photorefractive-photovoltaic crystal,” Appl. Phys. Lett.91, 111113 (2007).

[CrossRef]

Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media,” Phys. Rev. A78, 063812 (2008).

[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press: Princeton, 2008).

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quant. Semicl. Opt.7, R53–R72 (2005).

[CrossRef]

G. Hwanga, T. R. Akylas, and J. Yang, “Gap solitons and their linear stability in one-dimensional periodic media,” Physica D240, 1055–1068 (2011).

[CrossRef]

Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media,” Phys. Rev. A78, 063812 (2008).

[CrossRef]

Z. H. Musslimani and J. Yang, “Self-trapping of light in a two-dimensional photonic lattice,” J. Opt. Soc. Am. B21, 973–981 (2004).

[CrossRef]

J. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett.28, 2094–2096 (2003).

[CrossRef]
[PubMed]

J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems (SIAM: Philadelphia, 2010).

[CrossRef]

J. Liu, S. Liu, G. Zhang, and C. Wang, “Observation of two-dimensional holographic photovoltaic bright solitons in a photorefractive-photovoltaic crystal,” Appl. Phys. Lett.91, 111113 (2007).

[CrossRef]

J. Liu, S. Liu, G. Zhang, and C. Wang, “Observation of two-dimensional holographic photovoltaic bright solitons in a photorefractive-photovoltaic crystal,” Appl. Phys. Lett.91, 111113 (2007).

[CrossRef]

O. V. Borovkova, B. A. Malomed, and Y. V. Kartashov, “Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component,” EPL92, 64001 (2010).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional semi-gap solitons in a periodic potential,” Eur. Phys. J.38, 367–374 (2006).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in periodic potentials,” Europhys. Lett.63, 642–648 (2003).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quant. Semicl. Opt.7, R53–R72 (2005).

[CrossRef]

H. Sakaguchi and B. A. Malomed, “Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps,” J. Phys. B37, 1443–1459 (2004).

[CrossRef]

B. B. Baizakov, V. V. Konotop, and M. Salerno, “Regular spatial structures in arrays of Bose–Einstein condensates induced by modulational instability,” J. Phys. B: At. Mol. Opt. Phys.35, 5105–5119 (2002).

[CrossRef]

V. A. Brazhnyi and V. V. Konotop, “Theory of nonlinear matter waves in optical lattices,” Mod. Phys. Lett. B18, 627–651 (2004).

[CrossRef]

A. Szameit, D. Blömer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, and A. Tünnermann, 2005, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express13, 10552–10557 (2005).

[CrossRef]
[PubMed]

J. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett.28, 2094–2096 (2003).

[CrossRef]
[PubMed]

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

[CrossRef]

O. Cohen, M. M. Murnane, H. C. Kapteyn, and M. Segev, “Cross-phase-modulation nonlinearities and holographic solitons in periodically poled photovoltaic photorefractives,” Opt. Lett.31, 954–956 (2006).

[CrossRef]
[PubMed]

J. R. Salgueiro, A. A. Sukhorukov, and Y. S. Kivshar, “Spatial optical solitons supported by mutual focusing,” Opt. Lett.28, 1457–1459 (2003).

S. K. Adhikari, “Bright solitons in coupled defocusing NLS equation supported by coupling: Application to Bose-Einstein condensation,” Phys. Lett. A346, 179–185 (2005).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete Solitons in Optics,” Phys. Rep.463, 1 (2008).

[CrossRef]

P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, “Bose-Einstein condensates in optical lattices: Band-gap structure and solitons,” Phys. Rev. A67, 013602 (2003).

[CrossRef]

S. K. Adhikari, “Fermionic bright soliton in a boson-fermion mixture,” Phys. Rev. A72, 053608 (2005).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Two-component gap solitons with linear interconversion,” Phys. Rev. A79, 015602 (2009).

[CrossRef]

K. M. Hilligsoe, M. K. Oberthaler, and K. P. Marzlin, “Stability of gap solitons in a Bose-Einstein condensate,” Phys. Rev. A66, 063605 (2002).

[CrossRef]

M. Matuszewski, B. A. Malomed, and M. Trippenbach, “Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice,” Phys. Rev. A76, 043826 (2007).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A70, 053613 (2004).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media,” Phys. Rev. A78, 063812 (2008).

[CrossRef]

A. Gubeskys, B. A. Malomed, and I. M. Merhasin, “Two-component gap solitons in two- and one-dimensional Bose-Einstein condensate,” Phys. Rev. A73, 023607 (2006).

[CrossRef]

S. K. Adhikari and B. A. Malomed, “Symbiotic gap and semigap solitons in Bose-Einstein condensates,” Phys. Rev. A77, 023607 (2008).

[CrossRef]

V. M. Pérez-García and J. B. Beitia, “Symbiotic solitons in heteronuclear multicomponent Bose-Einstein condensates,” Phys. Rev. A72, 033620 (2005).

[CrossRef]

N. K. Efremidis and D. N. Christodoulides, “Lattice solitons in Bose-Einstein condensates,” Phys. Rev. A67, 063608 (2003).

[CrossRef]

T. Mayteevarunyoo and B. A. Malomed, “Stability limits for gap solitons in a Bose-Einstein condensate trapped in a time-modulated optical lattice,” Phys. Rev. A74, 033616 (2006).

[CrossRef]

J. Cuevas, B. A. Malomed, P. G. Kevrekidis, and D. J. Frantzeskakis, “Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions,” Phys. Rev. A79, 053608 (2009).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E70, 055603(R) (2004).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[CrossRef]

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E70, 036618 (2004).

[CrossRef]

B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E74, 066615 (2006).

[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. E66, 046602 (2002).

[CrossRef]

G. Hwanga, T. R. Akylas, and J. Yang, “Gap solitons and their linear stability in one-dimensional periodic media,” Physica D240, 1055–1068 (2011).

[CrossRef]

T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno, “Matter-wave vortices and solitons in anisotropic optical lattices,” Physica D238, 1439–1448 (2009).

[CrossRef]

S. Adhikari and B. A. Malomed, “Gap solitons in a model of a superfluid fermion gas in optical lattices,” Physica D238, 1402–1412 (2009).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton shape and mobility control in optical lattices,” Progr. Opt.52, 63–148 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattice,” Rev. Mod. Phys.83, 247–306 (2011).

[CrossRef]

O. Morsch and M. Oberthaler, “Dynamics of Bose-Einstein condensates in optical lattices,” Rev. Mod. Phys.78, 179–215 (2006).

[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press: Princeton, 2008).

L. Pitaevskii and S. Stringari, Bose-Einstein Condensate (Clarendon Press: Oxford, 2003).

H. T. C. Stoof, K. B. Gubbels, and D. B. M. Dickerscheid, Ultracold Quantum Fields (Springer: Dordrecht, 2009).

J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems (SIAM: Philadelphia, 2010).

[CrossRef]

D. E. Pelinovsky, Localization in Periodic Potentials (Cambridge University Press: Cambridge, UK, 2011).

[CrossRef]