R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: From N- soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).

[Crossref]

R. Driben, A. V. Yulin, A. Efimov, and B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21(16), 19091–19096 (2013).

[Crossref]
[PubMed]

R. Driben and B. A. Malomed, “Generation of tightly compressed solitons with a tunable frequency shift in Raman-free fibers,” Opt. Lett. 38(18), 3623–3626 (2013).

[Crossref]
[PubMed]

D. R. Martínez, M. M. Otero, M. L. Carrasco, and M. D. Castillo, “Waveguide properties of the asymmetric collision between two bright spatial solitons in Kerr media,” Opt. Express 20(24), 27411–27418 (2012).

[Crossref]
[PubMed]

W. Liu, L. Pang, X. Lin, R. Gao, and X. Song, “Observation of soliton fission in microstructured fiber,” Appl. Opt. 51(34), 8095–8101 (2012).

[Crossref]
[PubMed]

K. Steiglitz, “Soliton-guided phase shifter and beam splitter,” Phys. Rev. A 81(3), 033835 (2010).

[Crossref]

K. Steiglitz and D. Rand, “Photon trapping and transfer with solitons,” Phys. Rev. A 79(2), 021802 (2009).

[Crossref]

H. Yanay, L. Khaykovich, and B. A. Malomed, “Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation,” Chaos 19(3), 033145 (2009).

[Crossref]
[PubMed]

J. M. Dudley, G. Gentry, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).

[Crossref]

V. A. Aleshkevich, V. A. Vysloukh, A. S. Zhukarev, Ya. V. Kartashev, and P. V. Sinilo, “Stimulated decay of N-soliton pulses and optimal separation of one soliton components,” Quantum Electron. 33(5), 460–464 (2003).

[Crossref]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

M. F. Shih and M. Segev, “Incoherent collisions between two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21(19), 1538–1540 (1996).

[Crossref]
[PubMed]

M. Mitchell, Z. G. Chen, M. Shih, and M. Segev, “Self-trapping of partially spatially incoherent light,” Phys. Rev. Lett. 77(3), 490–493 (1996).

[Crossref]
[PubMed]

M.- Shih, Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Incoherent collisions between one-dimensional steady-state photorefractive screening solitons,” Appl. Phys. Lett. 69(27), 4151–4153 (1996).

[Crossref]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).

[Crossref]
[PubMed]

V. I. Karpman and V. V. Solov’ev, “A perturbational approach to two-soliton systems,” Physica 3D, 487–502 (1981).

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Prog. Theor. Phys. 55(Suppl.), 284–306 (1974).

[Crossref]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).

[Crossref]
[PubMed]

V. A. Aleshkevich, V. A. Vysloukh, A. S. Zhukarev, Ya. V. Kartashev, and P. V. Sinilo, “Stimulated decay of N-soliton pulses and optimal separation of one soliton components,” Quantum Electron. 33(5), 460–464 (2003).

[Crossref]

M.- Shih, Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Incoherent collisions between one-dimensional steady-state photorefractive screening solitons,” Appl. Phys. Lett. 69(27), 4151–4153 (1996).

[Crossref]

M. Mitchell, Z. G. Chen, M. Shih, and M. Segev, “Self-trapping of partially spatially incoherent light,” Phys. Rev. Lett. 77(3), 490–493 (1996).

[Crossref]
[PubMed]

M.- Shih, Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Incoherent collisions between one-dimensional steady-state photorefractive screening solitons,” Appl. Phys. Lett. 69(27), 4151–4153 (1996).

[Crossref]

J. M. Dudley, G. Gentry, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).

[Crossref]

M.- Shih, Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Incoherent collisions between one-dimensional steady-state photorefractive screening solitons,” Appl. Phys. Lett. 69(27), 4151–4153 (1996).

[Crossref]

R. Driben, A. V. Yulin, A. Efimov, and B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21(16), 19091–19096 (2013).

[Crossref]
[PubMed]

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: From N- soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).

[Crossref]

R. Driben and B. A. Malomed, “Generation of tightly compressed solitons with a tunable frequency shift in Raman-free fibers,” Opt. Lett. 38(18), 3623–3626 (2013).

[Crossref]
[PubMed]

J. M. Dudley, G. Gentry, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).

[Crossref]

J. M. Dudley, G. Gentry, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).

[Crossref]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

Y. Kodama and A. Hasewaga, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photon. Technol. Lett. QE-23, 510–524 (1987).

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

V. I. Karpman and V. V. Solov’ev, “A perturbational approach to two-soliton systems,” Physica 3D, 487–502 (1981).

V. A. Aleshkevich, V. A. Vysloukh, A. S. Zhukarev, Ya. V. Kartashev, and P. V. Sinilo, “Stimulated decay of N-soliton pulses and optimal separation of one soliton components,” Quantum Electron. 33(5), 460–464 (2003).

[Crossref]

H. Yanay, L. Khaykovich, and B. A. Malomed, “Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation,” Chaos 19(3), 033145 (2009).

[Crossref]
[PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

Y. Kodama and A. Hasewaga, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photon. Technol. Lett. QE-23, 510–524 (1987).

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

R. Driben and B. A. Malomed, “Generation of tightly compressed solitons with a tunable frequency shift in Raman-free fibers,” Opt. Lett. 38(18), 3623–3626 (2013).

[Crossref]
[PubMed]

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: From N- soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).

[Crossref]

R. Driben, A. V. Yulin, A. Efimov, and B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21(16), 19091–19096 (2013).

[Crossref]
[PubMed]

H. Yanay, L. Khaykovich, and B. A. Malomed, “Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation,” Chaos 19(3), 033145 (2009).

[Crossref]
[PubMed]

M. Mitchell, Z. G. Chen, M. Shih, and M. Segev, “Self-trapping of partially spatially incoherent light,” Phys. Rev. Lett. 77(3), 490–493 (1996).

[Crossref]
[PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).

[Crossref]
[PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).

[Crossref]
[PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

K. Steiglitz and D. Rand, “Photon trapping and transfer with solitons,” Phys. Rev. A 79(2), 021802 (2009).

[Crossref]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Prog. Theor. Phys. 55(Suppl.), 284–306 (1974).

[Crossref]

M. F. Shih and M. Segev, “Incoherent collisions between two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21(19), 1538–1540 (1996).

[Crossref]
[PubMed]

M. Mitchell, Z. G. Chen, M. Shih, and M. Segev, “Self-trapping of partially spatially incoherent light,” Phys. Rev. Lett. 77(3), 490–493 (1996).

[Crossref]
[PubMed]

M.- Shih, Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Incoherent collisions between one-dimensional steady-state photorefractive screening solitons,” Appl. Phys. Lett. 69(27), 4151–4153 (1996).

[Crossref]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

M. Mitchell, Z. G. Chen, M. Shih, and M. Segev, “Self-trapping of partially spatially incoherent light,” Phys. Rev. Lett. 77(3), 490–493 (1996).

[Crossref]
[PubMed]

M.- Shih, Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Incoherent collisions between one-dimensional steady-state photorefractive screening solitons,” Appl. Phys. Lett. 69(27), 4151–4153 (1996).

[Crossref]

V. A. Aleshkevich, V. A. Vysloukh, A. S. Zhukarev, Ya. V. Kartashev, and P. V. Sinilo, “Stimulated decay of N-soliton pulses and optimal separation of one soliton components,” Quantum Electron. 33(5), 460–464 (2003).

[Crossref]

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: From N- soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).

[Crossref]

V. I. Karpman and V. V. Solov’ev, “A perturbational approach to two-soliton systems,” Physica 3D, 487–502 (1981).

K. Steiglitz, “Soliton-guided phase shifter and beam splitter,” Phys. Rev. A 81(3), 033835 (2010).

[Crossref]

K. Steiglitz and D. Rand, “Photon trapping and transfer with solitons,” Phys. Rev. A 79(2), 021802 (2009).

[Crossref]

V. A. Aleshkevich, V. A. Vysloukh, A. S. Zhukarev, Ya. V. Kartashev, and P. V. Sinilo, “Stimulated decay of N-soliton pulses and optimal separation of one soliton components,” Quantum Electron. 33(5), 460–464 (2003).

[Crossref]

V. V. Afanasjev and V. A. Vysloukh, “Interaction of initially overlapping solitons with different frequencies,” J. Opt. Soc. Am. B 11(12), 2385–2393 (1994).

[Crossref]

G. E. Torres-Cisneros, J. J. Sanchez-Mondragon, and V. A. Vysloukh, “Asymmetric optical Y junctions and switching of weak beams using bright spatial-soliton collisions,” Opt. Lett. 18(16), 1299–1301 (1993).

[Crossref]
[PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Prog. Theor. Phys. 55(Suppl.), 284–306 (1974).

[Crossref]

H. Yanay, L. Khaykovich, and B. A. Malomed, “Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation,” Chaos 19(3), 033145 (2009).

[Crossref]
[PubMed]

R. Driben, A. V. Yulin, A. Efimov, and B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21(16), 19091–19096 (2013).

[Crossref]
[PubMed]

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: From N- soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).

[Crossref]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

V. A. Aleshkevich, V. A. Vysloukh, A. S. Zhukarev, Ya. V. Kartashev, and P. V. Sinilo, “Stimulated decay of N-soliton pulses and optimal separation of one soliton components,” Quantum Electron. 33(5), 460–464 (2003).

[Crossref]

M.- Shih, Z. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, “Incoherent collisions between one-dimensional steady-state photorefractive screening solitons,” Appl. Phys. Lett. 69(27), 4151–4153 (1996).

[Crossref]

H. Yanay, L. Khaykovich, and B. A. Malomed, “Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation,” Chaos 19(3), 033145 (2009).

[Crossref]
[PubMed]

Y. Kodama and A. Hasewaga, “Nonlinear pulse propagation in a monomode dielectric guide,” IEEE Photon. Technol. Lett. QE-23, 510–524 (1987).

R. Driben, A. V. Yulin, A. Efimov, and B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21(16), 19091–19096 (2013).

[Crossref]
[PubMed]

D. R. Martínez, M. M. Otero, M. L. Carrasco, and M. D. Castillo, “Waveguide properties of the asymmetric collision between two bright spatial solitons in Kerr media,” Opt. Express 20(24), 27411–27418 (2012).

[Crossref]
[PubMed]

R. Driben and B. A. Malomed, “Generation of tightly compressed solitons with a tunable frequency shift in Raman-free fibers,” Opt. Lett. 38(18), 3623–3626 (2013).

[Crossref]
[PubMed]

G. E. Torres-Cisneros, J. J. Sanchez-Mondragon, and V. A. Vysloukh, “Asymmetric optical Y junctions and switching of weak beams using bright spatial-soliton collisions,” Opt. Lett. 18(16), 1299–1301 (1993).

[Crossref]
[PubMed]

E. DelRe, S. Trillo, and A. J. Agranat, “Collisions and inhomogeneous forces between solitons of different dimensionality,” Opt. Lett. 25(8), 560–562 (2000).

[Crossref]
[PubMed]

J. P. Gordon, “Interaction forces among solitons in optical fibers,” Opt. Lett. 8(11), 596–598 (1983).

[Crossref]
[PubMed]

F. M. Mitschke and L. F. Mollenauer, “Discovery of the soliton self-frequency shift,” Opt. Lett. 11(10), 659–661 (1986).

[Crossref]
[PubMed]

F. M. Mitschke and L. F. Mollenauer, “Experimental observation of interaction forces between solitons in optical fibers,” Opt. Lett. 12(5), 355–357 (1987).

[Crossref]
[PubMed]

W. Królikowski and S. A. Holmstrom, “Fusion and birth of spatial solitons upon collision,” Opt. Lett. 22(6), 369–371 (1997).

[Crossref]
[PubMed]

M. F. Shih and M. Segev, “Incoherent collisions between two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21(19), 1538–1540 (1996).

[Crossref]
[PubMed]

R. Driben, B. A. Malomed, A. V. Yulin, and D. V. Skryabin, “Newton’s cradles in optics: From N- soliton fission to soliton chains,” Phys. Rev. A 87(6), 063808 (2013).

[Crossref]

K. Steiglitz and D. Rand, “Photon trapping and transfer with solitons,” Phys. Rev. A 79(2), 021802 (2009).

[Crossref]

K. Steiglitz, “Soliton-guided phase shifter and beam splitter,” Phys. Rev. A 81(3), 033835 (2010).

[Crossref]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface,” Phys. Rev. A 39(4), 1809–1827 (1989).

[Crossref]
[PubMed]

M. Mitchell, Z. G. Chen, M. Shih, and M. Segev, “Self-trapping of partially spatially incoherent light,” Phys. Rev. Lett. 77(3), 490–493 (1996).

[Crossref]
[PubMed]

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, and G. Korn, “Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers,” Phys. Rev. Lett. 88(17), 173901 (2002).

[Crossref]
[PubMed]

V. I. Karpman and V. V. Solov’ev, “A perturbational approach to two-soliton systems,” Physica 3D, 487–502 (1981).

J. Satsuma and N. Yajima, “Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media,” Prog. Theor. Phys. 55(Suppl.), 284–306 (1974).

[Crossref]

V. A. Aleshkevich, V. A. Vysloukh, A. S. Zhukarev, Ya. V. Kartashev, and P. V. Sinilo, “Stimulated decay of N-soliton pulses and optimal separation of one soliton components,” Quantum Electron. 33(5), 460–464 (2003).

[Crossref]

J. M. Dudley, G. Gentry, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78(4), 1135–1184 (2006).

[Crossref]

V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Sov. Phys. JETP 34, 62–69 (1972).

S. Trillo and W. Torruelas, eds., Spatial Solitons (Springer-Verlag, 2001).