B. H. Baratali, and J. Atai, “Gap solitons in dual-core Bragg gratings with dispersive reflectivity,” J. Opt. 14, 065202 (2012).

[CrossRef]

S. Dasanayaka and J. Atai, “Interactions of solitons in Bragg gratings with dispersive reflectivity in a cubic-quintic medium,” Phys. Rev. E 84, 026613 (2011).

[CrossRef]

S. Dasanayaka and J. Atai, “Stability of Bragg grating solitons in a cubic–quintic nonlinear medium with dispersive reflectivity,” Phys. Lett. A 375, 225–229 (2010).

[CrossRef]

D. R. Neill, J. Atai, and B. A. Malomed, “Dynamics and collisions of moving solitons in Bragg gratings with dispersive reflectivity,” J. Opt. A 10, 085105 (2008).

[CrossRef]

J. Cuevas and J. C. Eilbeck, “Discrete soliton collisions in a waveguide array with saturable nonlinearity,” Phys. Lett. A 358, 15–20 (2006).

[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775–780 (2006).

[CrossRef]

J. Atai, B. A. Malomed, and I. M. Merhasin, “Stability and collisions of gap solitons in a model of a hollow optical fiber,” Opt. Commun. 265, 342–348 (2006).

[CrossRef]

D. R. Neill and J. Atai, “Collision dynamics of gap solitons in Kerr media,” Phys. Lett. A 353, 416–421 (2006).

[CrossRef]

L. Tkeshelashvili, J. Niegemann, S. Pereira, and K. Busch, “Nonlinear wave interaction in photonic band gap materials,” Photon. Nanostr. Fundam. Appl. 4, 75–88 (2006).

[CrossRef]

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Coherent interactions of dissipative spatial solitons,” Opt. Lett. 29, 283–285 (2004).

[CrossRef]

D. V. Skryabin, “Coupled core-surface solitons in photonic crystal fibers,” Opt. Express 12, 4841–4846 (2004).

[CrossRef]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Nonlinear optical beam interactions in waveguide arrays,” Phys. Rev. Lett. 93, 093903 (2004).

[CrossRef]

J. Atai, “Interaction of Bragg grating solitons in a cubic–quintic medium,” J. Opt. B Quantum Semiclass. Opt. 6, S177–S181 (2004).

[CrossRef]

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

[CrossRef]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (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]

I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, “Soliton collisions in the discrete nonlinear Schrödinger equation,” Phys. Rev. E 68, 046604 (2003).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

R. H. Goodman, R. E. Slusher, and M. I. Weinstein, “Stopping light on a defect,” J. Opt. Soc. Am. B 19, 1635–1652 (2002).

[CrossRef]

J. Atai and B. A. Malomed, “Families of Bragg-grating solitons in a cubic–quintic medium,” Phys. Lett. A 284, 247–252 (2001).

[CrossRef]

J. Atai, and B. A. Malomed, “Solitary waves in systems with separated Bragg grating and nonlinearity,” Phys. Rev. E 64, 066617 (2001).

[CrossRef]

J. Atai, and B. A. Malomed, “Bragg-grating solitons in a semilinear dual-core system,” Phys. Rev. E 62, 8713–8718 (2000).

[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]

W. C. K. Mak, P. L. Chu, and B. A. Malomed, “Solitary waves in coupled nonlinear waveguides with Bragg gratings,” J. Opt. Soc. Am. B 15, 1685–1692 (1998).

[CrossRef]

D. Taverner, N. G. R. Broderick, D. J. Richardson, R. I. Laming, and M. Ibsen, “Nonlinear self-switching and multiple gap-soliton formation in a fiber Bragg grating,” Opt. Lett. 23, 328–330 (1998).

[CrossRef]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (1997).

[CrossRef]

W. Królikowski and S. A. Holmstrom, “Fusion and birth of spatial solitons upon collision,” Opt. Lett. 22, 369–371 (1997).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).

[CrossRef]

H. He and P. D. Drummond, “Ideal soliton environment using parametric band gaps,” Phys. Rev. Lett. 78, 4311–4315 (1997).

[CrossRef]

C. M. de Sterke, B. J. Eggleton, and P. A. Krug, “High-intensity pulse propagation in uniform gratings and grating superstructures,” J. Lightwave Technol. 15, 1494–1502 (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]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[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]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (1995).

[CrossRef]

S. Radic, N. George, and G. P. Agrawal, “Theory of low-threshold optical switching in nonlinear phase-shifted periodic structures,” J. Opt. Soc. Am. B 12, 671–680 (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]

C. M. de Sterke and J. E. Sipe, “Gap solitons,” Prog. Opt. 33, 203–260 (1994).

[CrossRef]

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, “All-optical switching in a nonlinear periodic-waveguide structure,” Appl. Phys. Lett. 60, 1427–1429 (1992).

[CrossRef]

P. St. J. Russell, “Bloch wave analysis of dispersion and pulse propagation in pure distributed feedback structures,” J. Mod. Opt. 38, 1599–1619 (1991).

[CrossRef]

S. LaRochelle, Y. Hibino, V. Mizrahi, and G. I. Stegeman, “All-optical switching of grating transmission using cross-phase modulation in optical fibres,” Electron. Lett. 26, 1459–1460 (1990).

[CrossRef]

D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).

[CrossRef]

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

[CrossRef]

H. G. Winful, “Pulse compression in optical fiber filters,” Appl. Phys. Lett. 46, 527–529 (1985).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, “Theory of bistability in nonlinear distributed feedback structures,” Appl. Phys. Lett. 35, 379–381 (1979).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Nonlinear optical beam interactions in waveguide arrays,” Phys. Rev. Lett. 93, 093903 (2004).

[CrossRef]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).

[CrossRef]

B. H. Baratali, and J. Atai, “Gap solitons in dual-core Bragg gratings with dispersive reflectivity,” J. Opt. 14, 065202 (2012).

[CrossRef]

S. Dasanayaka and J. Atai, “Interactions of solitons in Bragg gratings with dispersive reflectivity in a cubic-quintic medium,” Phys. Rev. E 84, 026613 (2011).

[CrossRef]

S. Dasanayaka and J. Atai, “Stability of Bragg grating solitons in a cubic–quintic nonlinear medium with dispersive reflectivity,” Phys. Lett. A 375, 225–229 (2010).

[CrossRef]

D. R. Neill, J. Atai, and B. A. Malomed, “Dynamics and collisions of moving solitons in Bragg gratings with dispersive reflectivity,” J. Opt. A 10, 085105 (2008).

[CrossRef]

D. R. Neill, and J. Atai, “Gap solitons in a hollow optical fiber in the normal dispersion regime,” Phys. Lett. A 367, 73–82 (2007).

[CrossRef]

D. R. Neill and J. Atai, “Collision dynamics of gap solitons in Kerr media,” Phys. Lett. A 353, 416–421 (2006).

[CrossRef]

J. Atai, B. A. Malomed, and I. M. Merhasin, “Stability and collisions of gap solitons in a model of a hollow optical fiber,” Opt. Commun. 265, 342–348 (2006).

[CrossRef]

J. Atai, and B. A. Malomed, “Gap solitons in Bragg gratings with dispersive reflectivity,” Phys. Lett. A 342, 404–412 (2005).

[CrossRef]

J. Atai, “Interaction of Bragg grating solitons in a cubic–quintic medium,” J. Opt. B Quantum Semiclass. Opt. 6, S177–S181 (2004).

[CrossRef]

J. Atai, and B. A. Malomed, “Solitary waves in systems with separated Bragg grating and nonlinearity,” Phys. Rev. E 64, 066617 (2001).

[CrossRef]

J. Atai and B. A. Malomed, “Families of Bragg-grating solitons in a cubic–quintic medium,” Phys. Lett. A 284, 247–252 (2001).

[CrossRef]

J. Atai, and B. A. Malomed, “Bragg-grating solitons in a semilinear dual-core system,” Phys. Rev. E 62, 8713–8718 (2000).

[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]

B. H. Baratali, and J. Atai, “Gap solitons in dual-core Bragg gratings with dispersive reflectivity,” J. Opt. 14, 065202 (2012).

[CrossRef]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003).

[CrossRef]

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, “All-optical switching in a nonlinear periodic-waveguide structure,” Appl. Phys. Lett. 60, 1427–1429 (1992).

[CrossRef]

L. Tkeshelashvili, J. Niegemann, S. Pereira, and K. Busch, “Nonlinear wave interaction in photonic band gap materials,” Photon. Nanostr. Fundam. Appl. 4, 75–88 (2006).

[CrossRef]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[CrossRef]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003).

[CrossRef]

D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).

[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, P. L. Chu, and B. A. Malomed, “Solitary waves in coupled nonlinear waveguides with Bragg gratings,” J. Opt. Soc. Am. B 15, 1685–1692 (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]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[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]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).

[CrossRef]

J. Cuevas and J. C. Eilbeck, “Discrete soliton collisions in a waveguide array with saturable nonlinearity,” Phys. Lett. A 358, 15–20 (2006).

[CrossRef]

S. Dasanayaka and J. Atai, “Interactions of solitons in Bragg gratings with dispersive reflectivity in a cubic-quintic medium,” Phys. Rev. E 84, 026613 (2011).

[CrossRef]

S. Dasanayaka and J. Atai, “Stability of Bragg grating solitons in a cubic–quintic nonlinear medium with dispersive reflectivity,” Phys. Lett. A 375, 225–229 (2010).

[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]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775–780 (2006).

[CrossRef]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (1997).

[CrossRef]

C. M. de Sterke, B. J. Eggleton, and P. A. Krug, “High-intensity pulse propagation in uniform gratings and grating superstructures,” J. Lightwave Technol. 15, 1494–1502 (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]

C. M. de Sterke and J. E. Sipe, “Gap solitons,” Prog. Opt. 33, 203–260 (1994).

[CrossRef]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (1995).

[CrossRef]

H. He and P. D. Drummond, “Ideal soliton environment using parametric band gaps,” Phys. Rev. Lett. 78, 4311–4315 (1997).

[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775–780 (2006).

[CrossRef]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (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]

C. M. de Sterke, B. J. Eggleton, and P. A. Krug, “High-intensity pulse propagation in uniform gratings and grating superstructures,” J. Lightwave Technol. 15, 1494–1502 (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]

J. Cuevas and J. C. Eilbeck, “Discrete soliton collisions in a waveguide array with saturable nonlinearity,” Phys. Lett. A 358, 15–20 (2006).

[CrossRef]

I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, “Soliton collisions in the discrete nonlinear Schrödinger equation,” Phys. Rev. E 68, 046604 (2003).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, “Theory of bistability in nonlinear distributed feedback structures,” Appl. Phys. Lett. 35, 379–381 (1979).

[CrossRef]

H. He and P. D. Drummond, “Ideal soliton environment using parametric band gaps,” Phys. Rev. Lett. 78, 4311–4315 (1997).

[CrossRef]

S. LaRochelle, Y. Hibino, V. Mizrahi, and G. I. Stegeman, “All-optical switching of grating transmission using cross-phase modulation in optical fibres,” Electron. Lett. 26, 1459–1460 (1990).

[CrossRef]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (1995).

[CrossRef]

D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).

[CrossRef]

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

I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, “Soliton collisions in the discrete nonlinear Schrödinger equation,” Phys. Rev. E 68, 046604 (2003).

[CrossRef]

C. M. de Sterke, B. J. Eggleton, and P. A. Krug, “High-intensity pulse propagation in uniform gratings and grating superstructures,” J. Lightwave Technol. 15, 1494–1502 (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]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (1995).

[CrossRef]

D. Taverner, N. G. R. Broderick, D. J. Richardson, R. I. Laming, and M. Ibsen, “Nonlinear self-switching and multiple gap-soliton formation in a fiber Bragg grating,” Opt. Lett. 23, 328–330 (1998).

[CrossRef]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[CrossRef]

S. LaRochelle, Y. Hibino, V. Mizrahi, and G. I. Stegeman, “All-optical switching of grating transmission using cross-phase modulation in optical fibres,” Electron. Lett. 26, 1459–1460 (1990).

[CrossRef]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[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]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775–780 (2006).

[CrossRef]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (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]

W. C. K. Mak, P. L. Chu, and B. A. Malomed, “Solitary waves in coupled nonlinear waveguides with Bragg gratings,” J. Opt. Soc. Am. B 15, 1685–1692 (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]

D. R. Neill, J. Atai, and B. A. Malomed, “Dynamics and collisions of moving solitons in Bragg gratings with dispersive reflectivity,” J. Opt. A 10, 085105 (2008).

[CrossRef]

J. Atai, B. A. Malomed, and I. M. Merhasin, “Stability and collisions of gap solitons in a model of a hollow optical fiber,” Opt. Commun. 265, 342–348 (2006).

[CrossRef]

J. Atai, and B. A. Malomed, “Gap solitons in Bragg gratings with dispersive reflectivity,” Phys. Lett. A 342, 404–412 (2005).

[CrossRef]

I. M. Merhasin and B. A. Malomed, “Gap solitons in a model of a hollow optical fiber,” Opt. Lett. 30, 1105–1107 (2005).

[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]

I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, “Soliton collisions in the discrete nonlinear Schrödinger equation,” Phys. Rev. E 68, 046604 (2003).

[CrossRef]

J. Atai, and B. A. Malomed, “Solitary waves in systems with separated Bragg grating and nonlinearity,” Phys. Rev. E 64, 066617 (2001).

[CrossRef]

J. Atai and B. A. Malomed, “Families of Bragg-grating solitons in a cubic–quintic medium,” Phys. Lett. A 284, 247–252 (2001).

[CrossRef]

J. Atai, and B. A. Malomed, “Bragg-grating solitons in a semilinear dual-core system,” Phys. Rev. E 62, 8713–8718 (2000).

[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]

W. C. K. Mak, P. L. Chu, and B. A. Malomed, “Solitary waves in coupled nonlinear waveguides with Bragg gratings,” J. Opt. Soc. Am. B 15, 1685–1692 (1998).

[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]

H. G. Winful, J. H. Marburger, and E. Garmire, “Theory of bistability in nonlinear distributed feedback structures,” Appl. Phys. Lett. 35, 379–381 (1979).

[CrossRef]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Nonlinear optical beam interactions in waveguide arrays,” Phys. Rev. Lett. 93, 093903 (2004).

[CrossRef]

S. LaRochelle, Y. Hibino, V. Mizrahi, and G. I. Stegeman, “All-optical switching of grating transmission using cross-phase modulation in optical fibres,” Electron. Lett. 26, 1459–1460 (1990).

[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775–780 (2006).

[CrossRef]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Nonlinear optical beam interactions in waveguide arrays,” Phys. Rev. Lett. 93, 093903 (2004).

[CrossRef]

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

[CrossRef]

D. R. Neill, J. Atai, and B. A. Malomed, “Dynamics and collisions of moving solitons in Bragg gratings with dispersive reflectivity,” J. Opt. A 10, 085105 (2008).

[CrossRef]

D. R. Neill, and J. Atai, “Gap solitons in a hollow optical fiber in the normal dispersion regime,” Phys. Lett. A 367, 73–82 (2007).

[CrossRef]

D. R. Neill and J. Atai, “Collision dynamics of gap solitons in Kerr media,” Phys. Lett. A 353, 416–421 (2006).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

L. Tkeshelashvili, J. Niegemann, S. Pereira, and K. Busch, “Nonlinear wave interaction in photonic band gap materials,” Photon. Nanostr. Fundam. Appl. 4, 75–88 (2006).

[CrossRef]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (1995).

[CrossRef]

I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, “Soliton collisions in the discrete nonlinear Schrödinger equation,” Phys. Rev. E 68, 046604 (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]

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]

L. Tkeshelashvili, J. Niegemann, S. Pereira, and K. Busch, “Nonlinear wave interaction in photonic band gap materials,” Photon. Nanostr. Fundam. Appl. 4, 75–88 (2006).

[CrossRef]

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, “All-optical switching in a nonlinear periodic-waveguide structure,” Appl. Phys. Lett. 60, 1427–1429 (1992).

[CrossRef]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[CrossRef]

P. St. J. Russell, “Bloch wave analysis of dispersion and pulse propagation in pure distributed feedback structures,” J. Mod. Opt. 38, 1599–1619 (1991).

[CrossRef]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003).

[CrossRef]

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, “All-optical switching in a nonlinear periodic-waveguide structure,” Appl. Phys. Lett. 60, 1427–1429 (1992).

[CrossRef]

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

[CrossRef]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Nonlinear optical beam interactions in waveguide arrays,” Phys. Rev. Lett. 93, 093903 (2004).

[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]

C. M. de Sterke and J. E. Sipe, “Gap solitons,” Prog. Opt. 33, 203–260 (1994).

[CrossRef]

J. E. Sipe and H. G. Winful, “Nonlinear Schrödinger solitons in a periodic structure,” Opt. Lett. 13, 132–133 (1988).

[CrossRef]

R. H. Goodman, R. E. Slusher, and M. I. Weinstein, “Stopping light on a defect,” J. Opt. Soc. Am. B 19, 1635–1652 (2002).

[CrossRef]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (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]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003).

[CrossRef]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Nonlinear optical beam interactions in waveguide arrays,” Phys. Rev. Lett. 93, 093903 (2004).

[CrossRef]

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Coherent interactions of dissipative spatial solitons,” Opt. Lett. 29, 283–285 (2004).

[CrossRef]

S. LaRochelle, Y. Hibino, V. Mizrahi, and G. I. Stegeman, “All-optical switching of grating transmission using cross-phase modulation in optical fibres,” Electron. Lett. 26, 1459–1460 (1990).

[CrossRef]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (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]

L. Tkeshelashvili, J. Niegemann, S. Pereira, and K. Busch, “Nonlinear wave interaction in photonic band gap materials,” Photon. Nanostr. Fundam. Appl. 4, 75–88 (2006).

[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]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).

[CrossRef]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003).

[CrossRef]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[CrossRef]

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

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

J. E. Sipe and H. G. Winful, “Nonlinear Schrödinger solitons in a periodic structure,” Opt. Lett. 13, 132–133 (1988).

[CrossRef]

H. G. Winful, “Pulse compression in optical fiber filters,” Appl. Phys. Lett. 46, 527–529 (1985).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, “Theory of bistability in nonlinear distributed feedback structures,” Appl. Phys. Lett. 35, 379–381 (1979).

[CrossRef]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (1995).

[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]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

H. G. Winful, J. H. Marburger, and E. Garmire, “Theory of bistability in nonlinear distributed feedback structures,” Appl. Phys. Lett. 35, 379–381 (1979).

[CrossRef]

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, “All-optical switching in a nonlinear periodic-waveguide structure,” Appl. Phys. Lett. 60, 1427–1429 (1992).

[CrossRef]

H. G. Winful, “Pulse compression in optical fiber filters,” Appl. Phys. Lett. 46, 527–529 (1985).

[CrossRef]

S. LaRochelle, Y. Hibino, V. Mizrahi, and G. I. Stegeman, “All-optical switching of grating transmission using cross-phase modulation in optical fibres,” Electron. Lett. 26, 1459–1460 (1990).

[CrossRef]

P. A. Krug, T. Stephens, G. Yoffe, F. Ouellette, P. Hill, and G. Dhosi, “Dispersion compensation over 270 km at 10 Gbit/s using an offset-core chirped fibre Bragg grating,” Electron. Lett. 31, 1091–1093 (1995).

[CrossRef]

W. H. Loh, R. I. Laming, N. Robinson, A. Cavaciuti, F. Vaninetti, C. J. Anderson, M. N. Zervas, and M. J. Cole, “Dispersion compensation over distances in excess of 500 km for 10 Gb/ssystems using chirped fiber gratings,” IEEE Photon. Technol. Lett. 8, 944–946 (1996).

[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]

C. M. de Sterke, B. J. Eggleton, and P. A. Krug, “High-intensity pulse propagation in uniform gratings and grating superstructures,” J. Lightwave Technol. 15, 1494–1502 (1997).

[CrossRef]

P. St. J. Russell, “Bloch wave analysis of dispersion and pulse propagation in pure distributed feedback structures,” J. Mod. Opt. 38, 1599–1619 (1991).

[CrossRef]

B. H. Baratali, and J. Atai, “Gap solitons in dual-core Bragg gratings with dispersive reflectivity,” J. Opt. 14, 065202 (2012).

[CrossRef]

D. R. Neill, J. Atai, and B. A. Malomed, “Dynamics and collisions of moving solitons in Bragg gratings with dispersive reflectivity,” J. Opt. A 10, 085105 (2008).

[CrossRef]

J. Atai, “Interaction of Bragg grating solitons in a cubic–quintic medium,” J. Opt. B Quantum Semiclass. Opt. 6, S177–S181 (2004).

[CrossRef]

S. Radic, N. George, and G. P. Agrawal, “Theory of low-threshold optical switching in nonlinear phase-shifted periodic structures,” J. Opt. Soc. Am. B 12, 671–680 (1995).

[CrossRef]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (1997).

[CrossRef]

W. C. K. Mak, P. L. Chu, and B. A. Malomed, “Solitary waves in coupled nonlinear waveguides with Bragg gratings,” J. Opt. Soc. Am. B 15, 1685–1692 (1998).

[CrossRef]

C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, “Third- and fifth-order optical nonlinearities in a new stilbazolium derivative,” J. Opt. Soc. Am. B 19, 369–375 (2002).

[CrossRef]

R. H. Goodman, R. E. Slusher, and M. I. Weinstein, “Stopping light on a defect,” J. Opt. Soc. Am. B 19, 1635–1652 (2002).

[CrossRef]

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2, 775–780 (2006).

[CrossRef]

J. Atai, B. A. Malomed, and I. M. Merhasin, “Stability and collisions of gap solitons in a model of a hollow optical fiber,” Opt. Commun. 265, 342–348 (2006).

[CrossRef]

G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, “Experimental and theoretical study of higher-order nonlinearities in chalcogenide glasses,” Opt. Commun. 219, 427–433 (2003).

[CrossRef]

I. M. Merhasin and B. A. Malomed, “Gap solitons in a model of a hollow optical fiber,” Opt. Lett. 30, 1105–1107 (2005).

[CrossRef]

Y. P. Shapira and M. Horowitz, “Optical AND gate based on soliton interaction in a fiber Bragg grating,” Opt. Lett. 32, 1211–1213 (2007).

[CrossRef]

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Coherent interactions of dissipative spatial solitons,” Opt. Lett. 29, 283–285 (2004).

[CrossRef]

J. E. Sipe and H. G. Winful, “Nonlinear Schrödinger solitons in a periodic structure,” Opt. Lett. 13, 132–133 (1988).

[CrossRef]

W. Królikowski and S. A. Holmstrom, “Fusion and birth of spatial solitons upon collision,” Opt. Lett. 22, 369–371 (1997).

[CrossRef]

D. Taverner, N. G. R. Broderick, D. J. Richardson, R. I. Laming, and M. Ibsen, “Nonlinear self-switching and multiple gap-soliton formation in a fiber Bragg grating,” Opt. Lett. 23, 328–330 (1998).

[CrossRef]

L. Tkeshelashvili, J. Niegemann, S. Pereira, and K. Busch, “Nonlinear wave interaction in photonic band gap materials,” Photon. Nanostr. Fundam. Appl. 4, 75–88 (2006).

[CrossRef]

J. Atai, and B. A. Malomed, “Gap solitons in Bragg gratings with dispersive reflectivity,” Phys. Lett. A 342, 404–412 (2005).

[CrossRef]

D. R. Neill and J. Atai, “Collision dynamics of gap solitons in Kerr media,” Phys. Lett. A 353, 416–421 (2006).

[CrossRef]

S. Dasanayaka and J. Atai, “Stability of Bragg grating solitons in a cubic–quintic nonlinear medium with dispersive reflectivity,” Phys. Lett. A 375, 225–229 (2010).

[CrossRef]

D. R. Neill, and J. Atai, “Gap solitons in a hollow optical fiber in the normal dispersion regime,” Phys. Lett. A 367, 73–82 (2007).

[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 284, 247–252 (2001).

[CrossRef]

J. Cuevas and J. C. Eilbeck, “Discrete soliton collisions in a waveguide array with saturable nonlinearity,” Phys. Lett. A 358, 15–20 (2006).

[CrossRef]

I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, “Soliton collisions in the discrete nonlinear Schrödinger equation,” Phys. Rev. E 68, 046604 (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]

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]

J. Atai, and B. A. Malomed, “Bragg-grating solitons in a semilinear dual-core system,” Phys. Rev. E 62, 8713–8718 (2000).

[CrossRef]

J. Atai, and B. A. Malomed, “Solitary waves in systems with separated Bragg grating and nonlinearity,” Phys. Rev. E 64, 066617 (2001).

[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]

S. Dasanayaka and J. Atai, “Interactions of solitons in Bragg gratings with dispersive reflectivity in a cubic-quintic medium,” Phys. Rev. E 84, 026613 (2011).

[CrossRef]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Nonlinear optical beam interactions in waveguide arrays,” Phys. Rev. Lett. 93, 093903 (2004).

[CrossRef]

C. Conti, S. Trillo, and G. Assanto, “Doubly resonant Bragg simultons via second-harmonic generation,” Phys. Rev. Lett. 78, 2341–2344 (1997).

[CrossRef]

H. He and P. D. Drummond, “Ideal soliton environment using parametric band gaps,” Phys. Rev. Lett. 78, 4311–4315 (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]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904 (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]

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

[CrossRef]

D. N. Christodoulides and R. I. Joseph, “Slow Bragg solitons in nonlinear periodic structures,” Phys. Rev. Lett. 62, 1746–1749 (1989).

[CrossRef]

C. M. de Sterke and J. E. Sipe, “Gap solitons,” Prog. Opt. 33, 203–260 (1994).

[CrossRef]

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