N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, “Optical solitons in PT-symmetric nonlinear couplers with gain and loss,” Phys. Rev. A 85, 063837 (2012).

[CrossRef]

Z. Birnbaum and B. A. Malomed, “Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity,” Physica D 237, 3252–3262 (2008).

[CrossRef]

M. Bache, O. Bang, W. Królikowski, J. Moses, and F. W. Wise, “Limits to compression with cascaded quadratic soliton compressors,” Opt. Express 16, 3273–3287 (2008).

[CrossRef]

R. Driben, B. A. Malomed, and P. L. Chu, “All-optical switching in a two-channel waveguide with cubic–quintic nonlinearity,” J. Phys. B 39, 2455–2466 (2006).

[CrossRef]

R. Driben, B. A. Malomed, M. Gutin, and U. Mahlab, “Implementation of nonlinearity management for Gaussian pulses in a fiber-optic link by means of second-harmonic-generating modules,” Opt. Commun. 218, 93–104 (2003).

[CrossRef]

A. V. Buryak, P. Di Trapani, D. V. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications,” Phys. Rep. 370, 63–235 (2002).

[CrossRef]

J. F. Corney and O. Bang, “Modulational instability in periodic quadratic nonlinear materials,” Phys. Rev. Lett. 87, 133901 (2001).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, C. Conti, S. Trillo, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities due to parametric wave mixing,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

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

[CrossRef]

C. Etrich, F. Lederer, B. A. Malomed, T. Peschel, and U. Peschel, “Optical solitons in media with a quadratic nonlinearity,” Prog. Opt. 41, 483–568 (2000).

[CrossRef]

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, “Two-dimensional solitary waves in media with quadratic and cubic nonlinearity,” Phys. Rev. E 58, 5057–5069 (1998).

[CrossRef]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Asymmetric solitons in coupled second-harmonic-generating waveguides,” Phys. Rev. E 57, 1092–1103 (1998).

[CrossRef]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Solitons in coupled waveguides with quadratic nonlinearity,” Phys. Rev. E 55, 6134–6140 (1997).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, “Spatial soliton pixels in semiconductor devices,” Phys. Rev. Lett. 79, 2042–2045 (1997).

[CrossRef]

O. Bang, Yu. S. Kivshar, and A. V. Buryak, “Bright spatial solitons in defocusing Kerr media supported by cascaded nonlinearities,” Opt. Lett. 22, 1680–1682 (1997).

[CrossRef]

O. Bang, “Dynamical equations for wave packets in materials with both quadratic and cubic response,” J. Opt. Soc. Am. B 14, 51–61 (1997).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

[CrossRef]

B. A. Malomed, I. Skinner, P. L. Chu, and G. D. Peng, “Symmetric and asymmetric solitons in twin-core nonlinear optical fibers,” Phys. Rev. E 53, 4084–4091 (1996).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Optical solitons supported by competing nonlinearities,” Opt. Lett. 20, 1961–1963 (1995).

[CrossRef]

A. Ankiewicz, N. Akhmediev, and G. P. Peng, “Stationary soliton states in couplers with saturable nonlinearity,” Opt. Quantum Electron. 27, 193–200 (1995).

[CrossRef]

A. Ankiewicz, N. Akhmediev, and J. M. Soto-Crespo, “Novel bifurcation phenomena for solitons in nonlinear saturable couplers,” Opt. Commun. 116, 411–415 (1995).

[CrossRef]

G. D. Peng, P. L. Chu, and A. Ankiewicz, “Soliton propagation in saturable nonlinear fiber couplers—variational and numerical results,” Int. J. Nonlinear Opt. Phys. 3, 69–87 (1994).

[CrossRef]

H. Hatami-Hanza, P. L. Chu, and G. D. Peng, “Optical switching in a coupler with saturable nonlinearity,” Opt. Quantum Electron. 26, S365–S372 (1994).

[CrossRef]

H. Lee, W. R. Cho, J. H. Park, J. S. Kim, S. H. Park, and U. Kim, “Measurement of free-carrier nonlinearities in ZnSe based on the Z-scan technique with a nanosecond laser,” Opt. Lett. 19, 1116–1118 (1994).

[CrossRef]

N. Akhmediev and A. Ankiewicz, “Novel soliton states and bifurcation phenomena in nonlinear fiber couplers,” Phys. Rev. Lett. 70, 2395–2398 (1993).

[CrossRef]

P. L. Chu, B. A. Malomed, and G. D. Peng, “Soliton switching and propagation in nonlinear fiber couplers: analytical results,” J. Opt. Soc. Am. B 10, 1379–1385 (1993).

[CrossRef]

J. M. Soto-Crespo and N. Akhmediev, “Stability of the soliton states in a nonlinear fiber coupler,” Phys. Rev. E 48, 4710–4715 (1993).

[CrossRef]

M. Romagnoli, S. Trillo, and S. Wabnitz, “Soliton switching in nonlinear couplers,” Opt. Quantum Electron. 24, S1237–S1267 (1992).

[CrossRef]

J. M. Hickmann, A. S. L. Gomes, and C. B. de Araújo, “Observation of spatial cross-phase modulation effects in a self-defocusing nonlinear medium,” Phys. Rev. Lett. 68, 3547–3550 (1992).

[CrossRef]

M. V. Komissarova and A. P. Sukhorukov, “Optical solitons in media with quadratic and cubic nonlinearities,” Bull. Russ. Acad. Sci. Phys. 56, 1995–1999 (1992).

A. I. Maimistov, “Propagation of a light pulse in nonlinear tunnel-coupled optical waveguides,” Kvant. Elektron. 18, 758–761 (1991) [Sov. J. Quantum Electron. 21, 687–690 (1991)].

C. Paré and M. Fłorjańczyk, “Approximate model of soliton dynamics in all-optical couplers,” Phys. Rev. A 41, 6287–6295 (1990).

[CrossRef]

E. M. Wright, G. I. Stegeman, and S. Wabnitz, “Solitary-wave decay and symmetry-breaking instabilities in two-mode fibers,” Phys. Rev. A 40, 4455–4466 (1989).

[CrossRef]

P. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. E 7, 118–120 (1961).

A. Ankiewicz, N. Akhmediev, and G. P. Peng, “Stationary soliton states in couplers with saturable nonlinearity,” Opt. Quantum Electron. 27, 193–200 (1995).

[CrossRef]

A. Ankiewicz, N. Akhmediev, and J. M. Soto-Crespo, “Novel bifurcation phenomena for solitons in nonlinear saturable couplers,” Opt. Commun. 116, 411–415 (1995).

[CrossRef]

N. Akhmediev and A. Ankiewicz, “Novel soliton states and bifurcation phenomena in nonlinear fiber couplers,” Phys. Rev. Lett. 70, 2395–2398 (1993).

[CrossRef]

J. M. Soto-Crespo and N. Akhmediev, “Stability of the soliton states in a nonlinear fiber coupler,” Phys. Rev. E 48, 4710–4715 (1993).

[CrossRef]

L. Albuch and B. A. Malomed, “Transitions between symmetric and asymmetric solitons in dual-core systems with cubic-quintic nonlinearity,” Math. Comput. Simul. 74, 312–322 (2007).

N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, “Optical solitons in PT-symmetric nonlinear couplers with gain and loss,” Phys. Rev. A 85, 063837 (2012).

[CrossRef]

A. Ankiewicz, N. Akhmediev, and G. P. Peng, “Stationary soliton states in couplers with saturable nonlinearity,” Opt. Quantum Electron. 27, 193–200 (1995).

[CrossRef]

A. Ankiewicz, N. Akhmediev, and J. M. Soto-Crespo, “Novel bifurcation phenomena for solitons in nonlinear saturable couplers,” Opt. Commun. 116, 411–415 (1995).

[CrossRef]

G. D. Peng, P. L. Chu, and A. Ankiewicz, “Soliton propagation in saturable nonlinear fiber couplers—variational and numerical results,” Int. J. Nonlinear Opt. Phys. 3, 69–87 (1994).

[CrossRef]

N. Akhmediev and A. Ankiewicz, “Novel soliton states and bifurcation phenomena in nonlinear fiber couplers,” Phys. Rev. Lett. 70, 2395–2398 (1993).

[CrossRef]

M. Bache, O. Bang, W. Królikowski, J. Moses, and F. W. Wise, “Limits to compression with cascaded quadratic soliton compressors,” Opt. Express 16, 3273–3287 (2008).

[CrossRef]

J. F. Corney and O. Bang, “Modulational instability in periodic quadratic nonlinear materials,” Phys. Rev. Lett. 87, 133901 (2001).

[CrossRef]

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

[CrossRef]

O. Bang, C. B. Clausen, P. L. Christiansen, and L. Torner, “Engineering competing nonlinearities,” Opt. Lett. 24, 1413–1415 (1999).

[CrossRef]

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, “Two-dimensional solitary waves in media with quadratic and cubic nonlinearity,” Phys. Rev. E 58, 5057–5069 (1998).

[CrossRef]

O. Bang, Yu. S. Kivshar, and A. V. Buryak, “Bright spatial solitons in defocusing Kerr media supported by cascaded nonlinearities,” Opt. Lett. 22, 1680–1682 (1997).

[CrossRef]

O. Bang, “Dynamical equations for wave packets in materials with both quadratic and cubic response,” J. Opt. Soc. Am. B 14, 51–61 (1997).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, “Optical solitons in PT-symmetric nonlinear couplers with gain and loss,” Phys. Rev. A 85, 063837 (2012).

[CrossRef]

Z. Birnbaum and B. A. Malomed, “Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity,” Physica D 237, 3252–3262 (2008).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, C. Conti, S. Trillo, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities due to parametric wave mixing,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, “Spatial soliton pixels in semiconductor devices,” Phys. Rev. Lett. 79, 2042–2045 (1997).

[CrossRef]

A. V. Buryak, P. Di Trapani, D. V. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications,” Phys. Rep. 370, 63–235 (2002).

[CrossRef]

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, “Two-dimensional solitary waves in media with quadratic and cubic nonlinearity,” Phys. Rev. E 58, 5057–5069 (1998).

[CrossRef]

O. Bang, Yu. S. Kivshar, and A. V. Buryak, “Bright spatial solitons in defocusing Kerr media supported by cascaded nonlinearities,” Opt. Lett. 22, 1680–1682 (1997).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Optical solitons supported by competing nonlinearities,” Opt. Lett. 20, 1961–1963 (1995).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, C. Conti, S. Trillo, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities due to parametric wave mixing,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

R. Driben, B. A. Malomed, and P. L. Chu, “All-optical switching in a two-channel waveguide with cubic–quintic nonlinearity,” J. Phys. B 39, 2455–2466 (2006).

[CrossRef]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Asymmetric solitons in coupled second-harmonic-generating waveguides,” Phys. Rev. E 57, 1092–1103 (1998).

[CrossRef]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Solitons in coupled waveguides with quadratic nonlinearity,” Phys. Rev. E 55, 6134–6140 (1997).

[CrossRef]

B. A. Malomed, I. Skinner, P. L. Chu, and G. D. Peng, “Symmetric and asymmetric solitons in twin-core nonlinear optical fibers,” Phys. Rev. E 53, 4084–4091 (1996).

[CrossRef]

G. D. Peng, P. L. Chu, and A. Ankiewicz, “Soliton propagation in saturable nonlinear fiber couplers—variational and numerical results,” Int. J. Nonlinear Opt. Phys. 3, 69–87 (1994).

[CrossRef]

H. Hatami-Hanza, P. L. Chu, and G. D. Peng, “Optical switching in a coupler with saturable nonlinearity,” Opt. Quantum Electron. 26, S365–S372 (1994).

[CrossRef]

P. L. Chu, B. A. Malomed, and G. D. Peng, “Soliton switching and propagation in nonlinear fiber couplers: analytical results,” J. Opt. Soc. Am. B 10, 1379–1385 (1993).

[CrossRef]

O. Bang, C. B. Clausen, P. L. Christiansen, and L. Torner, “Engineering competing nonlinearities,” Opt. Lett. 24, 1413–1415 (1999).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, C. Conti, S. Trillo, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities due to parametric wave mixing,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

J. F. Corney and O. Bang, “Modulational instability in periodic quadratic nonlinear materials,” Phys. Rev. Lett. 87, 133901 (2001).

[CrossRef]

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

[CrossRef]

J. M. Hickmann, A. S. L. Gomes, and C. B. de Araújo, “Observation of spatial cross-phase modulation effects in a self-defocusing nonlinear medium,” Phys. Rev. Lett. 68, 3547–3550 (1992).

[CrossRef]

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, “Two-dimensional solitary waves in media with quadratic and cubic nonlinearity,” Phys. Rev. E 58, 5057–5069 (1998).

[CrossRef]

A. V. Buryak, P. Di Trapani, D. V. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications,” Phys. Rep. 370, 63–235 (2002).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, C. Conti, S. Trillo, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities due to parametric wave mixing,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

R. Driben and B. A. Malomed, “Stability of solitons in parity-time-symmetric couplers,” Opt. Lett. 36, 4323–4325 (2011).

[CrossRef]

R. Driben, B. A. Malomed, and P. L. Chu, “All-optical switching in a two-channel waveguide with cubic–quintic nonlinearity,” J. Phys. B 39, 2455–2466 (2006).

[CrossRef]

R. Driben, B. A. Malomed, M. Gutin, and U. Mahlab, “Implementation of nonlinearity management for Gaussian pulses in a fiber-optic link by means of second-harmonic-generating modules,” Opt. Commun. 218, 93–104 (2003).

[CrossRef]

C. Etrich, F. Lederer, B. A. Malomed, T. Peschel, and U. Peschel, “Optical solitons in media with a quadratic nonlinearity,” Prog. Opt. 41, 483–568 (2000).

[CrossRef]

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, “Spatial soliton pixels in semiconductor devices,” Phys. Rev. Lett. 79, 2042–2045 (1997).

[CrossRef]

C. Paré and M. Fłorjańczyk, “Approximate model of soliton dynamics in all-optical couplers,” Phys. Rev. A 41, 6287–6295 (1990).

[CrossRef]

P. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. E 7, 118–120 (1961).

J. M. Hickmann, A. S. L. Gomes, and C. B. de Araújo, “Observation of spatial cross-phase modulation effects in a self-defocusing nonlinear medium,” Phys. Rev. Lett. 68, 3547–3550 (1992).

[CrossRef]

R. Driben, B. A. Malomed, M. Gutin, and U. Mahlab, “Implementation of nonlinearity management for Gaussian pulses in a fiber-optic link by means of second-harmonic-generating modules,” Opt. Commun. 218, 93–104 (2003).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

[CrossRef]

H. Hatami-Hanza, P. L. Chu, and G. D. Peng, “Optical switching in a coupler with saturable nonlinearity,” Opt. Quantum Electron. 26, S365–S372 (1994).

[CrossRef]

J. M. Hickmann, A. S. L. Gomes, and C. B. de Araújo, “Observation of spatial cross-phase modulation effects in a self-defocusing nonlinear medium,” Phys. Rev. Lett. 68, 3547–3550 (1992).

[CrossRef]

P. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. E 7, 118–120 (1961).

G. Iooss and D. D. Joseph, Elementary Stability and Bifurcation Theory (Springer, 1980).

G. Iooss and D. D. Joseph, Elementary Stability and Bifurcation Theory (Springer, 1980).

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, C. Conti, S. Trillo, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities due to parametric wave mixing,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, “Optical solitons in PT-symmetric nonlinear couplers with gain and loss,” Phys. Rev. A 85, 063837 (2012).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, “Two-dimensional solitary waves in media with quadratic and cubic nonlinearity,” Phys. Rev. E 58, 5057–5069 (1998).

[CrossRef]

O. Bang, Yu. S. Kivshar, and A. V. Buryak, “Bright spatial solitons in defocusing Kerr media supported by cascaded nonlinearities,” Opt. Lett. 22, 1680–1682 (1997).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Optical solitons supported by competing nonlinearities,” Opt. Lett. 20, 1961–1963 (1995).

[CrossRef]

M. V. Komissarova and A. P. Sukhorukov, “Optical solitons in media with quadratic and cubic nonlinearities,” Bull. Russ. Acad. Sci. Phys. 56, 1995–1999 (1992).

C. Etrich, F. Lederer, B. A. Malomed, T. Peschel, and U. Peschel, “Optical solitons in media with a quadratic nonlinearity,” Prog. Opt. 41, 483–568 (2000).

[CrossRef]

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, “Spatial soliton pixels in semiconductor devices,” Phys. Rev. Lett. 79, 2042–2045 (1997).

[CrossRef]

R. Driben, B. A. Malomed, M. Gutin, and U. Mahlab, “Implementation of nonlinearity management for Gaussian pulses in a fiber-optic link by means of second-harmonic-generating modules,” Opt. Commun. 218, 93–104 (2003).

[CrossRef]

A. I. Maimistov, “Propagation of a light pulse in nonlinear tunnel-coupled optical waveguides,” Kvant. Elektron. 18, 758–761 (1991) [Sov. J. Quantum Electron. 21, 687–690 (1991)].

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Asymmetric solitons in coupled second-harmonic-generating waveguides,” Phys. Rev. E 57, 1092–1103 (1998).

[CrossRef]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Solitons in coupled waveguides with quadratic nonlinearity,” Phys. Rev. E 55, 6134–6140 (1997).

[CrossRef]

R. Driben and B. A. Malomed, “Stability of solitons in parity-time-symmetric couplers,” Opt. Lett. 36, 4323–4325 (2011).

[CrossRef]

Z. Birnbaum and B. A. Malomed, “Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity,” Physica D 237, 3252–3262 (2008).

[CrossRef]

L. Albuch and B. A. Malomed, “Transitions between symmetric and asymmetric solitons in dual-core systems with cubic-quintic nonlinearity,” Math. Comput. Simul. 74, 312–322 (2007).

R. Driben, B. A. Malomed, and P. L. Chu, “All-optical switching in a two-channel waveguide with cubic–quintic nonlinearity,” J. Phys. B 39, 2455–2466 (2006).

[CrossRef]

R. Driben, B. A. Malomed, M. Gutin, and U. Mahlab, “Implementation of nonlinearity management for Gaussian pulses in a fiber-optic link by means of second-harmonic-generating modules,” Opt. Commun. 218, 93–104 (2003).

[CrossRef]

C. Etrich, F. Lederer, B. A. Malomed, T. Peschel, and U. Peschel, “Optical solitons in media with a quadratic nonlinearity,” Prog. Opt. 41, 483–568 (2000).

[CrossRef]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Asymmetric solitons in coupled second-harmonic-generating waveguides,” Phys. Rev. E 57, 1092–1103 (1998).

[CrossRef]

W. C. K. Mak, B. A. Malomed, and P. L. Chu, “Solitons in coupled waveguides with quadratic nonlinearity,” Phys. Rev. E 55, 6134–6140 (1997).

[CrossRef]

B. A. Malomed, I. Skinner, P. L. Chu, and G. D. Peng, “Symmetric and asymmetric solitons in twin-core nonlinear optical fibers,” Phys. Rev. E 53, 4084–4091 (1996).

[CrossRef]

P. L. Chu, B. A. Malomed, and G. D. Peng, “Soliton switching and propagation in nonlinear fiber couplers: analytical results,” J. Opt. Soc. Am. B 10, 1379–1385 (1993).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, C. Conti, S. Trillo, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities due to parametric wave mixing,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

G. New, Introduction to Nonlinear Optics (Cambridge University, 2011).

C. Paré and M. Fłorjańczyk, “Approximate model of soliton dynamics in all-optical couplers,” Phys. Rev. A 41, 6287–6295 (1990).

[CrossRef]

B. A. Malomed, I. Skinner, P. L. Chu, and G. D. Peng, “Symmetric and asymmetric solitons in twin-core nonlinear optical fibers,” Phys. Rev. E 53, 4084–4091 (1996).

[CrossRef]

H. Hatami-Hanza, P. L. Chu, and G. D. Peng, “Optical switching in a coupler with saturable nonlinearity,” Opt. Quantum Electron. 26, S365–S372 (1994).

[CrossRef]

G. D. Peng, P. L. Chu, and A. Ankiewicz, “Soliton propagation in saturable nonlinear fiber couplers—variational and numerical results,” Int. J. Nonlinear Opt. Phys. 3, 69–87 (1994).

[CrossRef]

P. L. Chu, B. A. Malomed, and G. D. Peng, “Soliton switching and propagation in nonlinear fiber couplers: analytical results,” J. Opt. Soc. Am. B 10, 1379–1385 (1993).

[CrossRef]

A. Ankiewicz, N. Akhmediev, and G. P. Peng, “Stationary soliton states in couplers with saturable nonlinearity,” Opt. Quantum Electron. 27, 193–200 (1995).

[CrossRef]

C. Etrich, F. Lederer, B. A. Malomed, T. Peschel, and U. Peschel, “Optical solitons in media with a quadratic nonlinearity,” Prog. Opt. 41, 483–568 (2000).

[CrossRef]

C. Etrich, F. Lederer, B. A. Malomed, T. Peschel, and U. Peschel, “Optical solitons in media with a quadratic nonlinearity,” Prog. Opt. 41, 483–568 (2000).

[CrossRef]

P. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. E 7, 118–120 (1961).

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, “Spatial soliton pixels in semiconductor devices,” Phys. Rev. Lett. 79, 2042–2045 (1997).

[CrossRef]

M. Romagnoli, S. Trillo, and S. Wabnitz, “Soliton switching in nonlinear couplers,” Opt. Quantum Electron. 24, S1237–S1267 (1992).

[CrossRef]

B. A. Malomed, I. Skinner, P. L. Chu, and G. D. Peng, “Symmetric and asymmetric solitons in twin-core nonlinear optical fibers,” Phys. Rev. E 53, 4084–4091 (1996).

[CrossRef]

A. V. Buryak, P. Di Trapani, D. V. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications,” Phys. Rep. 370, 63–235 (2002).

[CrossRef]

A. Ankiewicz, N. Akhmediev, and J. M. Soto-Crespo, “Novel bifurcation phenomena for solitons in nonlinear saturable couplers,” Opt. Commun. 116, 411–415 (1995).

[CrossRef]

J. M. Soto-Crespo and N. Akhmediev, “Stability of the soliton states in a nonlinear fiber coupler,” Phys. Rev. E 48, 4710–4715 (1993).

[CrossRef]

M. Brambilla, L. A. Lugiato, F. Prati, L. Spinelli, and W. J. Firth, “Spatial soliton pixels in semiconductor devices,” Phys. Rev. Lett. 79, 2042–2045 (1997).

[CrossRef]

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