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F. Abdullaev, A. Abdumalikov, and R. Galimzyanov, “Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices,” Phys. Lett. A 367, 149-155 (2007).

[CrossRef]

Z. Rapti, P. G. Kevrekidis, V. V. Konotop, and C. K. R. T. Jones, “Solitary waves under the competition of linear and nonlinear periodic potentials,” J. Phys. A: Math. Theor. 40, 14151-14163 (2007).

[CrossRef]

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[CrossRef]

S. Adhikari and B. A. Malomed, “Tightly bound gap solitons in a Fermi gas,” EPL 79, 50003 (2007).

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[CrossRef]

B. Maes, P. Bienstman, and R. Baets, “Bloch modes and self-localized waveguides in nonlinear photonic crystals,” J. Opt. Soc. Am. B 22, 613-619 (2005).

[CrossRef]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904 (2005).

[CrossRef]
[PubMed]

B. Maes, P. Bienstman, and R. Baets, “Switching in coupled nonlinear photonic-crystal resonators,” J. Opt. Soc. Am. B 22, 1778-1784 (2005).

[CrossRef]

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95, 213902 (2005).

[CrossRef]
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[CrossRef]

I. M. Merhasin, B. V. Gisin, R. Driben, and B. A. Malomed, “Finite-band solitons in the Kronig-Penney model with the cubic-quintic nonlinearity,” Phys. Rev. E 71, 016613 (2005).

[CrossRef]

J. Wang, F. Ye, L. Dong, T. Cai, and Y.-P. Li, “Lattice solitons supported by competing cubic-quintic nonlinearity,” Phys. Lett. A 339, 74-82 (2005).

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[CrossRef]

F. Luan, J. C. Knight, P. St. J. Russell, S. Campbell, D. Xiao, D. T. Reid, B. J. Mangan, D. P. Williams, and P. J. Roberts, “Femtosecond soliton pulse delivery at 800 nm wavelength in hollow-core photonic bandgap fibers,” Opt. Express 12, 835-840 (2004).

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[PubMed]

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[CrossRef]

A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Spatial soliton formation in photonic crystal fibers,” Opt. Express 11, 452-459 (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, 147-150 (2003).

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[CrossRef]
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[CrossRef]

J. Atai and B. A. Malomed, “Spatial solitons in a medium composed of self-focusing and self-defocusing layers,” Phys. Lett. A 298, 140-148 (2002).

[CrossRef]

G. L. Alfimov, V. V. Konotop, and M. Salerno, “Matter solitons in Bose-Einstein condensates with optical lattices,” Europhys. Lett. 58, 7-13 (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 35, 5105-5119 (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. E 66, 046602 (2002).

[CrossRef]

D. N. Christodoulides and N. K. Efremidis, “Discrete temporal solitons along a chain of nonlinear coupled microcavities embedded in photonic crystals,” Opt. Lett. 27, 568-570 (2002).

[CrossRef]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).

[CrossRef]
[PubMed]

A. A. Sukhorukov and Y. S. Kivshar, “Spatial optical solitons in nonlinear photonic crystals,” Phys. Rev. E 65, 036609 (2002).

[CrossRef]

A. A. Sukhorukov and Y. S. Kivshar, “Nonlinear guided waves and spatial solitons in a periodic layered medium,” J. Opt. Soc. Am. B 19, 772-781 (2002).

[CrossRef]

S. F. Mingaleev and Y. S. Kivshar, “Self-trapping and stable localized modes in nonlinear photonic crystals,” Phys. Rev. Lett. 86, 5474-5477 (2001).

[CrossRef]
[PubMed]

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87, 203901 (2001).

[CrossRef]
[PubMed]

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[CrossRef]
[PubMed]

S. F. Mingaleev, Y. S. Kivshar, and R. A. Sammut, “Long-range interaction and nonlinear localized modes in photonic crystal waveguides,” Phys. Rev. E 62, 5777-5782 (2000).

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

F. Abdullaev, A. Abdumalikov, and R. Galimzyanov, “Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices,” Phys. Lett. A 367, 149-155 (2007).

[CrossRef]

F. Abdullaev, A. Abdumalikov, and R. Galimzyanov, “Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices,” Phys. Lett. A 367, 149-155 (2007).

[CrossRef]

S. Adhikari and B. A. Malomed, “Tightly bound gap solitons in a Fermi gas,” EPL 79, 50003 (2007).

[CrossRef]

N. Akozbek and S. John, “Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,” Phys. Rev. E 57, 2287-2319 (1998).

[CrossRef]

G. L. Alfimov, V. V. Konotop, and M. Salerno, “Matter solitons in Bose-Einstein condensates with optical lattices,” Europhys. Lett. 58, 7-13 (2002).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502-2505 (2000).

[CrossRef]
[PubMed]

J. Atai and B. A. Malomed, “Spatial solitons in a medium composed of self-focusing and self-defocusing layers,” Phys. Lett. A 298, 140-148 (2002).

[CrossRef]

B. Maes, P. Bienstman, and R. Baets, “Bloch modes and self-localized waveguides in nonlinear photonic crystals,” J. Opt. Soc. Am. B 22, 613-619 (2005).

[CrossRef]

B. Maes, P. Bienstman, and R. Baets, “Switching in coupled nonlinear photonic-crystal resonators,” J. Opt. Soc. Am. B 22, 1778-1784 (2005).

[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 35, 5105-5119 (2002).

[CrossRef]

J. F. Corney and O. Bang, “Solitons in quadratic nonlinear photonic crystals,” Phys. Rev. E 64, 047601 (2001).

[CrossRef]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904 (2005).

[CrossRef]
[PubMed]

L. Bergé, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259-370 (1998).

[CrossRef]

N. A. R. Bhat and J. E. Sipe, “Optical pulse propagation in nonlinear photonic crystals,” Phys. Rev. E 64, 056604 (2001).

[CrossRef]

B. Maes, P. Bienstman, and R. Baets, “Switching in coupled nonlinear photonic-crystal resonators,” J. Opt. Soc. Am. B 22, 1778-1784 (2005).

[CrossRef]

B. Maes, P. Bienstman, and R. Baets, “Bloch modes and self-localized waveguides in nonlinear photonic crystals,” J. Opt. Soc. Am. B 22, 613-619 (2005).

[CrossRef]

A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Vortex solitons in photonic crystal fibers,” Opt. Express 12, 817-822 (2004).

[CrossRef]
[PubMed]

A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Spatial soliton formation in photonic crystal fibers,” Opt. Express 11, 452-459 (2003).

[CrossRef]
[PubMed]

K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, “Periodic nanostructures for photonics,” Phys. Rep. 444, 101-202 (2007).

[CrossRef]

J. Wang, F. Ye, L. Dong, T. Cai, and Y.-P. Li, “Lattice solitons supported by competing cubic-quintic nonlinearity,” Phys. Lett. A 339, 74-82 (2005).

[CrossRef]

F. Luan, J. C. Knight, P. St. J. Russell, S. Campbell, D. Xiao, D. T. Reid, B. J. Mangan, D. P. Williams, and P. J. Roberts, “Femtosecond soliton pulse delivery at 800 nm wavelength in hollow-core photonic bandgap fibers,” Opt. Express 12, 835-840 (2004).

[CrossRef]
[PubMed]

B. T. Seaman, L. D. Carr, and M. J. Holland, “Nonlinear band structure in Bose-Einstein condensates: nonlinear Schrödinger equation with a Kronig-Penney potential,” Phys. Rev. A 71, 033622 (2005).

[CrossRef]

B. Deconinck, F. Kiyak, J. D. Carter, and J. N. Kutz, “SPECTRUW: a laboratory for the numerical exploration of spectra of linear operators,” Math. Comput. Simul. 74, 370-378 (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, 147-150 (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 N. K. Efremidis, “Discrete temporal solitons along a chain of nonlinear coupled microcavities embedded in photonic crystals,” Opt. Lett. 27, 568-570 (2002).

[CrossRef]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904 (2005).

[CrossRef]
[PubMed]

C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502-2505 (2000).

[CrossRef]
[PubMed]

J. F. Corney and O. Bang, “Solitons in quadratic nonlinear photonic crystals,” Phys. Rev. E 64, 047601 (2001).

[CrossRef]

T. F. Krauss and R. M. De la Rue, “Photonic crystals in the optical regime--past, present and future,” Prog. Quantum Electron. 23, 51-96 (1999).

[CrossRef]

B. Deconinck, F. Kiyak, J. D. Carter, and J. N. Kutz, “SPECTRUW: a laboratory for the numerical exploration of spectra of linear operators,” Math. Comput. Simul. 74, 370-378 (2007).

[CrossRef]

J. Wang, F. Ye, L. Dong, T. Cai, and Y.-P. Li, “Lattice solitons supported by competing cubic-quintic nonlinearity,” Phys. Lett. A 339, 74-82 (2005).

[CrossRef]

I. M. Merhasin, B. V. Gisin, R. Driben, and B. A. Malomed, “Finite-band solitons in the Kronig-Penney model with the cubic-quintic nonlinearity,” Phys. Rev. E 71, 016613 (2005).

[CrossRef]

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95, 213902 (2005).

[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, 147-150 (2003).

[CrossRef]
[PubMed]

D. N. Christodoulides and N. K. Efremidis, “Discrete temporal solitons along a chain of nonlinear coupled microcavities embedded in photonic crystals,” Opt. Lett. 27, 568-570 (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. E 66, 046602 (2002).

[CrossRef]

A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Vortex solitons in photonic crystal fibers,” Opt. Express 12, 817-822 (2004).

[CrossRef]
[PubMed]

A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Spatial soliton formation in photonic crystal fibers,” Opt. Express 11, 452-459 (2003).

[CrossRef]
[PubMed]

A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Vortex solitons in photonic crystal fibers,” Opt. Express 12, 817-822 (2004).

[CrossRef]
[PubMed]

A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, “Spatial soliton formation in photonic crystal fibers,” Opt. Express 11, 452-459 (2003).

[CrossRef]
[PubMed]

Y. Sivan, G. Fibich, and M. I. Weinstein, “Waves in nonlinear lattices: ultrashort optical pulses and Bose-Einstein condensates,” Phys. Rev. Lett. 97, 193902 (2006).

[CrossRef]
[PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904 (2005).

[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, 147-150 (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]

F. Abdullaev, A. Abdumalikov, and R. Galimzyanov, “Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices,” Phys. Lett. A 367, 149-155 (2007).

[CrossRef]

I. M. Merhasin, B. V. Gisin, R. Driben, and B. A. Malomed, “Finite-band solitons in the Kronig-Penney model with the cubic-quintic nonlinearity,” Phys. Rev. E 71, 016613 (2005).

[CrossRef]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).

[CrossRef]
[PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).

[CrossRef]
[PubMed]

A. V. Husakou and J. Herrmann, “Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers,” Phys. Rev. Lett. 87, 203901 (2001).

[CrossRef]
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[CrossRef]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).

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[CrossRef]
[PubMed]

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[CrossRef]

M. Soljacic and J. D. Joannopoulos, “Enhancement of nonlinear effects using photonic crystals,” Nat. Mater. 3, 211-219 (2004).

[CrossRef]
[PubMed]

N. Akozbek and S. John, “Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,” Phys. Rev. E 57, 2287-2319 (1998).

[CrossRef]

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[CrossRef]
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[CrossRef]

Z. Rapti, P. G. Kevrekidis, V. V. Konotop, and C. K. R. T. Jones, “Solitary waves under the competition of linear and nonlinear periodic potentials,” J. Phys. A: Math. Theor. 40, 14151-14163 (2007).

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[CrossRef]

A. A. Sukhorukov and Y. S. Kivshar, “Spatial optical solitons in nonlinear photonic crystals,” Phys. Rev. E 65, 036609 (2002).

[CrossRef]

A. A. Sukhorukov and Y. S. Kivshar, “Nonlinear guided waves and spatial solitons in a periodic layered medium,” J. Opt. Soc. Am. B 19, 772-781 (2002).

[CrossRef]

S. F. Mingaleev and Y. S. Kivshar, “Self-trapping and stable localized modes in nonlinear photonic crystals,” Phys. Rev. Lett. 86, 5474-5477 (2001).

[CrossRef]
[PubMed]

S. F. Mingaleev, Y. S. Kivshar, and R. A. Sammut, “Long-range interaction and nonlinear localized modes in photonic crystal waveguides,” Phys. Rev. E 62, 5777-5782 (2000).

[CrossRef]

B. Deconinck, F. Kiyak, J. D. Carter, and J. N. Kutz, “SPECTRUW: a laboratory for the numerical exploration of spectra of linear operators,” Math. Comput. Simul. 74, 370-378 (2007).

[CrossRef]

A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett. 95, 213902 (2005).

[CrossRef]
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[CrossRef]
[PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88, 173901 (2002).

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[CrossRef]

Z. Rapti, P. G. Kevrekidis, V. V. Konotop, and C. K. R. T. Jones, “Solitary waves under the competition of linear and nonlinear periodic potentials,” J. Phys. A: Math. Theor. 40, 14151-14163 (2007).

[CrossRef]

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