I. Carusotto and C. Ciuti, “Quantum fluids of light,” Rev. Mod. Phys.85, 299–366 (2013).

[CrossRef]

V. A. Brazhnyi, C. P. Jisha, and A. S. Rodrigues, “Interaction of discrete nonlinear Schrodinger solitons with a ¨ linear lattice impurity,” Phys. Rev. A87, 013609 (2013).

[CrossRef]

V. Serkin, A. Hasegawa, and T. Belyaeva, “Geiger–nuttall law for Schrödinger solitons,” J. Mod. Opt.60, 116–127 (2013).

[CrossRef]

A. Alberucci, C. P. Jisha, R.-K. Lee, and G. Assanto, “Soliton self-routing in a finite photonic potential,” Opt. Lett.38, 2071–2073 (2013).

[CrossRef]

M. Peccianti and G. Assanto, “Nematicons,” Phys. Rep.516, 147–208 (2012).

[CrossRef]

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Physics Reports518, 1–79 (2012).

[CrossRef]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, “Scattering of reorientational optical solitary waves at dielectric perturbations,” Phys. Rev. A85, 013804 (2012).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

C. P. Jisha, Y. Lin, T.-D. Lee, and R.-K. Lee, “Crescent waves in optical cavities,” Phys. Rev. Lett.107, 183902 (2011).

[CrossRef]
[PubMed]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, “Optical solitons and wave-particle duality,” Opt. Lett.36, 1848–1850 (2011).

[CrossRef]
[PubMed]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, “Nematicon all-optical control in liquid crystal light valves,” Opt. Lett.35, 390–392 (2010).

[CrossRef]
[PubMed]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

G. Assanto, A. A. Minzoni, and N. F. Smyth, “Nematicons escaping a wide trapping potential: modulation theory,” Phys. Rev. A79, 033837 (2009).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, “All-optical steering of soliton waveguides in dye-doped liquid crystals,” Appl. Phys. Lett.93, 171104 (2008).

[CrossRef]

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, “Observation of soliton tunneling phenomena and soliton ejection,” Phys. Rev. Lett.100, 153901 (2008).

[CrossRef]
[PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Escaping solitons from a trapping potential,” Phys. Rev. Lett.101, 153902 (2008).

[CrossRef]
[PubMed]

A. Fratalocchi and G. Assanto, “Symmetry-breaking instabilities in perturbed optical lattices: Nonlinear nonreciprocity and macroscopic self-trapping,” Phys. Rev. A75, 063828 (2007).

[CrossRef]

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett.98, 213901 (2007).

[CrossRef]
[PubMed]

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Non-specular total internal reflection of spatial solitons at the interface between highly birefringent media,” Phys. Rev. Lett.98, 113902 (2007).

[CrossRef]
[PubMed]

A. Alberucci, M. Peccianti, and G. Assanto, “Nonlinear bouncing of nonlocal spatial solitons at the boundaries,” Opt. Lett.32, 2795–2797 (2007).

[CrossRef]
[PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys.2, 737–742 (2006).

[CrossRef]

L. W. Dong and H. Wang, “Oscillatory behavior of spatial soliton in a gradient refractive index waveguide with nonlocal nonlinearity,” Appl. Phys. B84, 465–469 (2006).

[CrossRef]

L. Morales-Molina and R. A. Vicencio, “Trapping of discrete solitons by defects in nonlinear waveguide arrays,” Opt. Lett.31, 966–968 (2006).

[CrossRef]
[PubMed]

J. Cuevas, B. A. Malomed, and P. G. Kevrekidis, “Motion of discrete solitons assisted by nonlinearity management,” Phys. Rev. E71, 066614 (2005).

[CrossRef]

P. Y. P. Chen, B. A. Malomed, and P. L. Chu, “Trapping bragg solitons by a pair of defects,” Phys. Rev. E71, 066601 (2005).

[CrossRef]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science286, 1518–1523 (1999).

[CrossRef]
[PubMed]

S. Garzia, C. Sibilia, and M. Bertolotti, “Swing effect of spatial solitons,” Opt. Comm.139, 193–198 (1997).

[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrödinger system,” Phys. Rev. E53, 6476–6485 (1996).

[CrossRef]

X. D. Cao and B. A. Malomed, “Soliton-defect collisions in the nonlinear Schrödinger equation,” Phys. Lett. A206, 177–182 (1995).

[CrossRef]

K. Forinash, M. Peyrard, and B. Malomed, “Interaction of discrete breathers with impurity modes,” Phys. Rev. E49, 3400–3411 (1994).

[CrossRef]

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys.61, 763–915 (1989).

[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. A39, 1809–1827 (1989).

[CrossRef]
[PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. ii. multiple-particle and multiple-interface extensions,” Phys. Rev. A39, 1828–1840 (1989).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. ii. multiple-particle and multiple-interface extensions,” Phys. Rev. A39, 1828–1840 (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. A39, 1809–1827 (1989).

[CrossRef]
[PubMed]

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

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

L. Friedrich, G. I. Stegeman, P. Millar, C. J. Hamilton, and J. S. Aitchison, “Dynamic, electronically controlled angle steering of spatial solitons in AlGaAs slab waveguides,” Opt. Lett.23, 1438–1440 (1998).

[CrossRef]

A. Alberucci, C. P. Jisha, R.-K. Lee, and G. Assanto, “Soliton self-routing in a finite photonic potential,” Opt. Lett.38, 2071–2073 (2013).

[CrossRef]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, “Scattering of reorientational optical solitary waves at dielectric perturbations,” Phys. Rev. A85, 013804 (2012).

[CrossRef]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, “Optical solitons and wave-particle duality,” Opt. Lett.36, 1848–1850 (2011).

[CrossRef]
[PubMed]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, “Nematicon all-optical control in liquid crystal light valves,” Opt. Lett.35, 390–392 (2010).

[CrossRef]
[PubMed]

A. Alberucci, M. Peccianti, and G. Assanto, “Nonlinear bouncing of nonlocal spatial solitons at the boundaries,” Opt. Lett.32, 2795–2797 (2007).

[CrossRef]
[PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett.98, 213901 (2007).

[CrossRef]
[PubMed]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

A. Alberucci, C. P. Jisha, R.-K. Lee, and G. Assanto, “Soliton self-routing in a finite photonic potential,” Opt. Lett.38, 2071–2073 (2013).

[CrossRef]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, “Scattering of reorientational optical solitary waves at dielectric perturbations,” Phys. Rev. A85, 013804 (2012).

[CrossRef]

M. Peccianti and G. Assanto, “Nematicons,” Phys. Rep.516, 147–208 (2012).

[CrossRef]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, “Optical solitons and wave-particle duality,” Opt. Lett.36, 1848–1850 (2011).

[CrossRef]
[PubMed]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, “Nematicon all-optical control in liquid crystal light valves,” Opt. Lett.35, 390–392 (2010).

[CrossRef]
[PubMed]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

G. Assanto, A. A. Minzoni, and N. F. Smyth, “Nematicons escaping a wide trapping potential: modulation theory,” Phys. Rev. A79, 033837 (2009).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, “All-optical steering of soliton waveguides in dye-doped liquid crystals,” Appl. Phys. Lett.93, 171104 (2008).

[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Escaping solitons from a trapping potential,” Phys. Rev. Lett.101, 153902 (2008).

[CrossRef]
[PubMed]

A. Alberucci, M. Peccianti, and G. Assanto, “Nonlinear bouncing of nonlocal spatial solitons at the boundaries,” Opt. Lett.32, 2795–2797 (2007).

[CrossRef]
[PubMed]

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Non-specular total internal reflection of spatial solitons at the interface between highly birefringent media,” Phys. Rev. Lett.98, 113902 (2007).

[CrossRef]
[PubMed]

A. Fratalocchi and G. Assanto, “Symmetry-breaking instabilities in perturbed optical lattices: Nonlinear nonreciprocity and macroscopic self-trapping,” Phys. Rev. A75, 063828 (2007).

[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys.2, 737–742 (2006).

[CrossRef]

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, “Observation of soliton tunneling phenomena and soliton ejection,” Phys. Rev. Lett.100, 153901 (2008).

[CrossRef]
[PubMed]

V. Serkin, A. Hasegawa, and T. Belyaeva, “Geiger–nuttall law for Schrödinger solitons,” J. Mod. Opt.60, 116–127 (2013).

[CrossRef]

S. Garzia, C. Sibilia, and M. Bertolotti, “Swing effect of spatial solitons,” Opt. Comm.139, 193–198 (1997).

[CrossRef]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrödinger system,” Phys. Rev. E53, 6476–6485 (1996).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

V. A. Brazhnyi, C. P. Jisha, and A. S. Rodrigues, “Interaction of discrete nonlinear Schrodinger solitons with a ¨ linear lattice impurity,” Phys. Rev. A87, 013609 (2013).

[CrossRef]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrödinger system,” Phys. Rev. E53, 6476–6485 (1996).

[CrossRef]

X. D. Cao and B. A. Malomed, “Soliton-defect collisions in the nonlinear Schrödinger equation,” Phys. Lett. A206, 177–182 (1995).

[CrossRef]

I. Carusotto and C. Ciuti, “Quantum fluids of light,” Rev. Mod. Phys.85, 299–366 (2013).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

P. Y. P. Chen, B. A. Malomed, and P. L. Chu, “Trapping bragg solitons by a pair of defects,” Phys. Rev. E71, 066601 (2005).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett.98, 213901 (2007).

[CrossRef]
[PubMed]

P. Y. P. Chen, B. A. Malomed, and P. L. Chu, “Trapping bragg solitons by a pair of defects,” Phys. Rev. E71, 066601 (2005).

[CrossRef]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

I. Carusotto and C. Ciuti, “Quantum fluids of light,” Rev. Mod. Phys.85, 299–366 (2013).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

J. Cuevas, B. A. Malomed, and P. G. Kevrekidis, “Motion of discrete solitons assisted by nonlinearity management,” Phys. Rev. E71, 066614 (2005).

[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

L. W. Dong and H. Wang, “Oscillatory behavior of spatial soliton in a gradient refractive index waveguide with nonlocal nonlinearity,” Appl. Phys. B84, 465–469 (2006).

[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Escaping solitons from a trapping potential,” Phys. Rev. Lett.101, 153902 (2008).

[CrossRef]
[PubMed]

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Non-specular total internal reflection of spatial solitons at the interface between highly birefringent media,” Phys. Rev. Lett.98, 113902 (2007).

[CrossRef]
[PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys.2, 737–742 (2006).

[CrossRef]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

K. Forinash, M. Peyrard, and B. Malomed, “Interaction of discrete breathers with impurity modes,” Phys. Rev. E49, 3400–3411 (1994).

[CrossRef]

A. Fratalocchi and G. Assanto, “Symmetry-breaking instabilities in perturbed optical lattices: Nonlinear nonreciprocity and macroscopic self-trapping,” Phys. Rev. A75, 063828 (2007).

[CrossRef]

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Physics Reports518, 1–79 (2012).

[CrossRef]

S. Garzia, C. Sibilia, and M. Bertolotti, “Swing effect of spatial solitons,” Opt. Comm.139, 193–198 (1997).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrödinger system,” Phys. Rev. E53, 6476–6485 (1996).

[CrossRef]

V. Serkin, A. Hasegawa, and T. Belyaeva, “Geiger–nuttall law for Schrödinger solitons,” J. Mod. Opt.60, 116–127 (2013).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

A. Alberucci, C. P. Jisha, R.-K. Lee, and G. Assanto, “Soliton self-routing in a finite photonic potential,” Opt. Lett.38, 2071–2073 (2013).

[CrossRef]

V. A. Brazhnyi, C. P. Jisha, and A. S. Rodrigues, “Interaction of discrete nonlinear Schrodinger solitons with a ¨ linear lattice impurity,” Phys. Rev. A87, 013609 (2013).

[CrossRef]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, “Optical solitons and wave-particle duality,” Opt. Lett.36, 1848–1850 (2011).

[CrossRef]
[PubMed]

C. P. Jisha, Y. Lin, T.-D. Lee, and R.-K. Lee, “Crescent waves in optical cavities,” Phys. Rev. Lett.107, 183902 (2011).

[CrossRef]
[PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Escaping solitons from a trapping potential,” Phys. Rev. Lett.101, 153902 (2008).

[CrossRef]
[PubMed]

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Non-specular total internal reflection of spatial solitons at the interface between highly birefringent media,” Phys. Rev. Lett.98, 113902 (2007).

[CrossRef]
[PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys.2, 737–742 (2006).

[CrossRef]

J. Cuevas, B. A. Malomed, and P. G. Kevrekidis, “Motion of discrete solitons assisted by nonlinearity management,” Phys. Rev. E71, 066614 (2005).

[CrossRef]

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Physics Reports518, 1–79 (2012).

[CrossRef]

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys.61, 763–915 (1989).

[CrossRef]

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

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrödinger system,” Phys. Rev. E53, 6476–6485 (1996).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

A. Alberucci, C. P. Jisha, R.-K. Lee, and G. Assanto, “Soliton self-routing in a finite photonic potential,” Opt. Lett.38, 2071–2073 (2013).

[CrossRef]

C. P. Jisha, Y. Lin, T.-D. Lee, and R.-K. Lee, “Crescent waves in optical cavities,” Phys. Rev. Lett.107, 183902 (2011).

[CrossRef]
[PubMed]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, “Optical solitons and wave-particle duality,” Opt. Lett.36, 1848–1850 (2011).

[CrossRef]
[PubMed]

C. P. Jisha, Y. Lin, T.-D. Lee, and R.-K. Lee, “Crescent waves in optical cavities,” Phys. Rev. Lett.107, 183902 (2011).

[CrossRef]
[PubMed]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

C. P. Jisha, Y. Lin, T.-D. Lee, and R.-K. Lee, “Crescent waves in optical cavities,” Phys. Rev. Lett.107, 183902 (2011).

[CrossRef]
[PubMed]

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Physics Reports518, 1–79 (2012).

[CrossRef]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, “All-optical steering of soliton waveguides in dye-doped liquid crystals,” Appl. Phys. Lett.93, 171104 (2008).

[CrossRef]

K. Forinash, M. Peyrard, and B. Malomed, “Interaction of discrete breathers with impurity modes,” Phys. Rev. E49, 3400–3411 (1994).

[CrossRef]

J. Cuevas, B. A. Malomed, and P. G. Kevrekidis, “Motion of discrete solitons assisted by nonlinearity management,” Phys. Rev. E71, 066614 (2005).

[CrossRef]

P. Y. P. Chen, B. A. Malomed, and P. L. Chu, “Trapping bragg solitons by a pair of defects,” Phys. Rev. E71, 066601 (2005).

[CrossRef]

X. D. Cao and B. A. Malomed, “Soliton-defect collisions in the nonlinear Schrödinger equation,” Phys. Lett. A206, 177–182 (1995).

[CrossRef]

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys.61, 763–915 (1989).

[CrossRef]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett.98, 213901 (2007).

[CrossRef]
[PubMed]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, “Scattering of reorientational optical solitary waves at dielectric perturbations,” Phys. Rev. A85, 013804 (2012).

[CrossRef]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

G. Assanto, A. A. Minzoni, and N. F. Smyth, “Nematicons escaping a wide trapping potential: modulation theory,” Phys. Rev. A79, 033837 (2009).

[CrossRef]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[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. A39, 1809–1827 (1989).

[CrossRef]
[PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. ii. multiple-particle and multiple-interface extensions,” Phys. Rev. A39, 1828–1840 (1989).

[CrossRef]
[PubMed]

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. ii. multiple-particle and multiple-interface extensions,” Phys. Rev. A39, 1828–1840 (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. A39, 1809–1827 (1989).

[CrossRef]
[PubMed]

M. Peccianti and G. Assanto, “Nematicons,” Phys. Rep.516, 147–208 (2012).

[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Escaping solitons from a trapping potential,” Phys. Rev. Lett.101, 153902 (2008).

[CrossRef]
[PubMed]

A. Alberucci, M. Peccianti, and G. Assanto, “Nonlinear bouncing of nonlocal spatial solitons at the boundaries,” Opt. Lett.32, 2795–2797 (2007).

[CrossRef]
[PubMed]

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Non-specular total internal reflection of spatial solitons at the interface between highly birefringent media,” Phys. Rev. Lett.98, 113902 (2007).

[CrossRef]
[PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys.2, 737–742 (2006).

[CrossRef]

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, “Observation of soliton tunneling phenomena and soliton ejection,” Phys. Rev. Lett.100, 153901 (2008).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

K. Forinash, M. Peyrard, and B. Malomed, “Interaction of discrete breathers with impurity modes,” Phys. Rev. E49, 3400–3411 (1994).

[CrossRef]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, “Nematicon all-optical control in liquid crystal light valves,” Opt. Lett.35, 390–392 (2010).

[CrossRef]
[PubMed]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, “All-optical steering of soliton waveguides in dye-doped liquid crystals,” Appl. Phys. Lett.93, 171104 (2008).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

V. A. Brazhnyi, C. P. Jisha, and A. S. Rodrigues, “Interaction of discrete nonlinear Schrodinger solitons with a ¨ linear lattice impurity,” Phys. Rev. A87, 013609 (2013).

[CrossRef]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett.98, 213901 (2007).

[CrossRef]
[PubMed]

J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, 1994).

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrödinger system,” Phys. Rev. E53, 6476–6485 (1996).

[CrossRef]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, “Observation of soliton tunneling phenomena and soliton ejection,” Phys. Rev. Lett.100, 153901 (2008).

[CrossRef]
[PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett.98, 213901 (2007).

[CrossRef]
[PubMed]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science286, 1518–1523 (1999).

[CrossRef]
[PubMed]

V. Serkin, A. Hasegawa, and T. Belyaeva, “Geiger–nuttall law for Schrödinger solitons,” J. Mod. Opt.60, 116–127 (2013).

[CrossRef]

S. Garzia, C. Sibilia, and M. Bertolotti, “Swing effect of spatial solitons,” Opt. Comm.139, 193–198 (1997).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, “All-optical steering of soliton waveguides in dye-doped liquid crystals,” Appl. Phys. Lett.93, 171104 (2008).

[CrossRef]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, “Scattering of reorientational optical solitary waves at dielectric perturbations,” Phys. Rev. A85, 013804 (2012).

[CrossRef]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

G. Assanto, A. A. Minzoni, and N. F. Smyth, “Nematicons escaping a wide trapping potential: modulation theory,” Phys. Rev. A79, 033837 (2009).

[CrossRef]

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, “Observation of soliton tunneling phenomena and soliton ejection,” Phys. Rev. Lett.100, 153901 (2008).

[CrossRef]
[PubMed]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science286, 1518–1523 (1999).

[CrossRef]
[PubMed]

L. Friedrich, G. I. Stegeman, P. Millar, C. J. Hamilton, and J. S. Aitchison, “Dynamic, electronically controlled angle steering of spatial solitons in AlGaAs slab waveguides,” Opt. Lett.23, 1438–1440 (1998).

[CrossRef]

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, “Observation of soliton tunneling phenomena and soliton ejection,” Phys. Rev. Lett.100, 153901 (2008).

[CrossRef]
[PubMed]

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Physics Reports518, 1–79 (2012).

[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

L. W. Dong and H. Wang, “Oscillatory behavior of spatial soliton in a gradient refractive index waveguide with nonlocal nonlinearity,” Appl. Phys. B84, 465–469 (2006).

[CrossRef]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

L. W. Dong and H. Wang, “Oscillatory behavior of spatial soliton in a gradient refractive index waveguide with nonlocal nonlinearity,” Appl. Phys. B84, 465–469 (2006).

[CrossRef]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, “All-optical steering of soliton waveguides in dye-doped liquid crystals,” Appl. Phys. Lett.93, 171104 (2008).

[CrossRef]

V. Serkin, A. Hasegawa, and T. Belyaeva, “Geiger–nuttall law for Schrödinger solitons,” J. Mod. Opt.60, 116–127 (2013).

[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Tunable refraction and reflection of self-confined light beams,” Nat. Phys.2, 737–742 (2006).

[CrossRef]

S. Garzia, C. Sibilia, and M. Bertolotti, “Swing effect of spatial solitons,” Opt. Comm.139, 193–198 (1997).

[CrossRef]

L. Friedrich, G. I. Stegeman, P. Millar, C. J. Hamilton, and J. S. Aitchison, “Dynamic, electronically controlled angle steering of spatial solitons in AlGaAs slab waveguides,” Opt. Lett.23, 1438–1440 (1998).

[CrossRef]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett.28, 834–836 (2003).

[CrossRef]
[PubMed]

L. Morales-Molina and R. A. Vicencio, “Trapping of discrete solitons by defects in nonlinear waveguide arrays,” Opt. Lett.31, 966–968 (2006).

[CrossRef]
[PubMed]

A. Alberucci, M. Peccianti, and G. Assanto, “Nonlinear bouncing of nonlocal spatial solitons at the boundaries,” Opt. Lett.32, 2795–2797 (2007).

[CrossRef]
[PubMed]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, “Nematicon all-optical control in liquid crystal light valves,” Opt. Lett.35, 390–392 (2010).

[CrossRef]
[PubMed]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, “Optical solitons and wave-particle duality,” Opt. Lett.36, 1848–1850 (2011).

[CrossRef]
[PubMed]

A. Alberucci, C. P. Jisha, R.-K. Lee, and G. Assanto, “Soliton self-routing in a finite photonic potential,” Opt. Lett.38, 2071–2073 (2013).

[CrossRef]

X. D. Cao and B. A. Malomed, “Soliton-defect collisions in the nonlinear Schrödinger equation,” Phys. Lett. A206, 177–182 (1995).

[CrossRef]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).

[CrossRef]

M. Peccianti and G. Assanto, “Nematicons,” Phys. Rep.516, 147–208 (2012).

[CrossRef]

G. Assanto, A. A. Minzoni, and N. F. Smyth, “Nematicons escaping a wide trapping potential: modulation theory,” Phys. Rev. A79, 033837 (2009).

[CrossRef]

V. A. Brazhnyi, C. P. Jisha, and A. S. Rodrigues, “Interaction of discrete nonlinear Schrodinger solitons with a ¨ linear lattice impurity,” Phys. Rev. A87, 013609 (2013).

[CrossRef]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, “Scattering of reorientational optical solitary waves at dielectric perturbations,” Phys. Rev. A85, 013804 (2012).

[CrossRef]

A. Fratalocchi and G. Assanto, “Symmetry-breaking instabilities in perturbed optical lattices: Nonlinear nonreciprocity and macroscopic self-trapping,” Phys. Rev. A75, 063828 (2007).

[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. A39, 1809–1827 (1989).

[CrossRef]
[PubMed]

A. B. Aceves, J. V. Moloney, and A. C. Newell, “Theory of light-beam propagation at nonlinear interfaces. ii. multiple-particle and multiple-interface extensions,” Phys. Rev. A39, 1828–1840 (1989).

[CrossRef]
[PubMed]

V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, “Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrödinger system,” Phys. Rev. E53, 6476–6485 (1996).

[CrossRef]

P. Y. P. Chen, B. A. Malomed, and P. L. Chu, “Trapping bragg solitons by a pair of defects,” Phys. Rev. E71, 066601 (2005).

[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E53, 1172–1189 (1996).

[CrossRef]

J. Cuevas, B. A. Malomed, and P. G. Kevrekidis, “Motion of discrete solitons assisted by nonlinearity management,” Phys. Rev. E71, 066614 (2005).

[CrossRef]

K. Forinash, M. Peyrard, and B. Malomed, “Interaction of discrete breathers with impurity modes,” Phys. Rev. E49, 3400–3411 (1994).

[CrossRef]

G. Assanto, L. A. Cisneros, A. A. Minzoni, B. D. Skuse, N. F. Smyth, and A. L. Worthy, “Soliton steering by longitudinal modulation of the nonlinearity in waveguide arrays,” Phys. Rev. Lett.104, 053903 (2010).

[CrossRef]
[PubMed]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, “Escaping solitons from a trapping potential,” Phys. Rev. Lett.101, 153902 (2008).

[CrossRef]
[PubMed]

C. P. Jisha, Y. Lin, T.-D. Lee, and R.-K. Lee, “Crescent waves in optical cavities,” Phys. Rev. Lett.107, 183902 (2011).

[CrossRef]
[PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett.98, 213901 (2007).

[CrossRef]
[PubMed]

M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Non-specular total internal reflection of spatial solitons at the interface between highly birefringent media,” Phys. Rev. Lett.98, 113902 (2007).

[CrossRef]
[PubMed]

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, “Observation of soliton tunneling phenomena and soliton ejection,” Phys. Rev. Lett.100, 153901 (2008).

[CrossRef]
[PubMed]

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, “Nonlinear scattering and trapping by local photonic potentials,” Phys. Rev. Lett.99, 133901 (2007).

[CrossRef]
[PubMed]

I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Physics Reports518, 1–79 (2012).

[CrossRef]

Y. S. Kivshar and B. A. Malomed, “Dynamics of solitons in nearly integrable systems,” Rev. Mod. Phys.61, 763–915 (1989).

[CrossRef]

I. Carusotto and C. Ciuti, “Quantum fluids of light,” Rev. Mod. Phys.85, 299–366 (2013).

[CrossRef]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: Universality and diversity,” Science286, 1518–1523 (1999).

[CrossRef]
[PubMed]

A. Amo, S. Pigeon, D. Sanvitto, V. G. Sala, R. Hivet, I. Carusotto, F. Pisanello, G. Lemnager, R. Houdr, E. Giacobino, C. Ciuti, and A. Bramati, “Polariton superfluids reveal quantum hydrodynamic solitons,” Science332, 1167–1170 (2011).

[CrossRef]
[PubMed]

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

J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, 1994).