V. I. Kruglov, C. Aguergaray, N. G. Broderick, and J. D. Harvey, “Dispersive and rectangular similariton generation in fiber amplifiers and lasers,” Phys. Rev. A 85, 061803(R) (2012).

T. Soloman Raju and P. K. Panigrahi, “Optical similaritons in a tapered graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 84, 033807 (2011).

T. Soloman Raju and P. K. Panigrahi, “Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 81, 043820 (2010).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons,” J. Mod. Opt. 57, 1456–1472 (2010).

L. Wu, J. F. Zhang, L. Li, Q. Tian, and K. Porsezian, “Similaritons in nonlinear optical systems,” Opt. Express 16, 6352–6360 (2008).

J. F. Wang, L. Li, and S. T. Jia, “Nonlinear tunneling of optical similaritons in nonlinear waveguides,” J. Opt. Soc. Am. B 25, 1254–1260 (2008).

S. A. Ponomarenko and G. P. Agrawal, “Interaction of chirped and chirp-free similaritons in fiber amplifiers,” Opt. Express 15, 2963–2973 (2007).

S. A. Ponomarenko and G. P. Agrawal, “Optical similaritons in nonlinear waveguides,” Opt. Lett. 32, 1659–1661 (2007).

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3, 597–603 (2007).

K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. E 71, 056619 (2005).

R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Nonlinear compression of solitary waves in asymmetric twin-core fibers,” Phys. Rev. E 71, 026608 (2005).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Self-similar propagation and compression of chirped self-similar waves in asymmetric twin-core fibers with nonlinear gain,” Phys. Rev. E 72, 046612 (2005).

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Comment on ‘Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 92, 199401 (2004).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B 19, 461–469 (2002).

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron. 8, 418–431 (2002).

V. N. Serkin and T. L. Belyaeva, “Optimal control of optical soliton parameters: the Lax representation in the problem of soliton management,” Qunatum Elec. 32, 1007–1015 (2001).

V. N. Serkin and T. L. Belyaeva, “High energy optical Schrödinger solitons,” JETP Lett. 74, 573–577 (2001).

V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

V. N. Serkin and A. Hasegawa, “Soliton management in the nonlinear Schrödinger equation model with varying dispersion, nonlinearity, and gain,” JETP Lett. 72, 89–92 (2000).

G. Cohen, “Soliton interaction with an external traveling wave,” Phys. Rev. E 61, 874–879 (2000).

B. A. Malomed, I. M. 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).

B. A. Malomed, “Bound solitons in a nonlinear optical coupler,” Phys. Rev. E 51, R864–R866 (1995).

V. I. Kruglov, C. Aguergaray, N. G. Broderick, and J. D. Harvey, “Dispersive and rectangular similariton generation in fiber amplifiers and lasers,” Phys. Rev. A 85, 061803(R) (2012).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons,” J. Mod. Opt. 57, 1456–1472 (2010).

K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Comment on ‘Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 92, 199401 (2004).

V. N. Serkin and T. L. Belyaeva, “Optimal control of optical soliton parameters: the Lax representation in the problem of soliton management,” Qunatum Elec. 32, 1007–1015 (2001).

V. N. Serkin and T. L. Belyaeva, “High energy optical Schrödinger solitons,” JETP Lett. 74, 573–577 (2001).

V. I. Kruglov, C. Aguergaray, N. G. Broderick, and J. D. Harvey, “Dispersive and rectangular similariton generation in fiber amplifiers and lasers,” Phys. Rev. A 85, 061803(R) (2012).

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).

F. Calogero and A. Degasperis, Spectral Transform and Solitons (North-Holland, 1982).

B. A. Malomed, I. M. 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).

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).

G. Cohen, “Soliton interaction with an external traveling wave,” Phys. Rev. E 61, 874–879 (2000).

F. Calogero and A. Degasperis, Spectral Transform and Solitons (North-Holland, 1982).

P. G. Drazin and R. S. Johnson, Solitons: An Introduction(Cambridge University, 1988).

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3, 597–603 (2007).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B 19, 461–469 (2002).

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3, 597–603 (2007).

K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).

R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

V. I. Kruglov, C. Aguergaray, N. G. Broderick, and J. D. Harvey, “Dispersive and rectangular similariton generation in fiber amplifiers and lasers,” Phys. Rev. A 85, 061803(R) (2012).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. E 71, 056619 (2005).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B 19, 461–469 (2002).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons,” J. Mod. Opt. 57, 1456–1472 (2010).

K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Comment on ‘Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 92, 199401 (2004).

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron. 8, 418–431 (2002).

V. N. Serkin and A. Hasegawa, “Soliton management in the nonlinear Schrödinger equation model with varying dispersion, nonlinearity, and gain,” JETP Lett. 72, 89–92 (2000).

V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).

P. G. Drazin and R. S. Johnson, Solitons: An Introduction(Cambridge University, 1988).

V. I. Kruglov, C. Aguergaray, N. G. Broderick, and J. D. Harvey, “Dispersive and rectangular similariton generation in fiber amplifiers and lasers,” Phys. Rev. A 85, 061803(R) (2012).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. E 71, 056619 (2005).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B 19, 461–469 (2002).

J. F. Wang, L. Li, and S. T. Jia, “Nonlinear tunneling of optical similaritons in nonlinear waveguides,” J. Opt. Soc. Am. B 25, 1254–1260 (2008).

L. Wu, J. F. Zhang, L. Li, Q. Tian, and K. Porsezian, “Similaritons in nonlinear optical systems,” Opt. Express 16, 6352–6360 (2008).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

B. A. Malomed, I. M. 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).

B. A. Malomed, “Bound solitons in a nonlinear optical coupler,” Phys. Rev. E 51, R864–R866 (1995).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3, 597–603 (2007).

T. Soloman Raju and P. K. Panigrahi, “Optical similaritons in a tapered graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 84, 033807 (2011).

T. Soloman Raju and P. K. Panigrahi, “Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 81, 043820 (2010).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Self-similar propagation and compression of chirped self-similar waves in asymmetric twin-core fibers with nonlinear gain,” Phys. Rev. E 72, 046612 (2005).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Nonlinear compression of solitary waves in asymmetric twin-core fibers,” Phys. Rev. E 71, 026608 (2005).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. E 71, 056619 (2005).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B 19, 461–469 (2002).

B. A. Malomed, I. M. 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).

L. Wu, J. F. Zhang, L. Li, Q. Tian, and K. Porsezian, “Similaritons in nonlinear optical systems,” Opt. Express 16, 6352–6360 (2008).

K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Self-similar propagation and compression of chirped self-similar waves in asymmetric twin-core fibers with nonlinear gain,” Phys. Rev. E 72, 046612 (2005).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Nonlinear compression of solitary waves in asymmetric twin-core fibers,” Phys. Rev. E 71, 026608 (2005).

T. Soloman Raju and P. K. Panigrahi, “Optical similaritons in a tapered graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 84, 033807 (2011).

T. Soloman Raju and P. K. Panigrahi, “Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 81, 043820 (2010).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Self-similar propagation and compression of chirped self-similar waves in asymmetric twin-core fibers with nonlinear gain,” Phys. Rev. E 72, 046612 (2005).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Nonlinear compression of solitary waves in asymmetric twin-core fibers,” Phys. Rev. E 71, 026608 (2005).

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3, 597–603 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons,” J. Mod. Opt. 57, 1456–1472 (2010).

K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Comment on ‘Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 92, 199401 (2004).

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron. 8, 418–431 (2002).

V. N. Serkin and T. L. Belyaeva, “High energy optical Schrödinger solitons,” JETP Lett. 74, 573–577 (2001).

V. N. Serkin and T. L. Belyaeva, “Optimal control of optical soliton parameters: the Lax representation in the problem of soliton management,” Qunatum Elec. 32, 1007–1015 (2001).

V. N. Serkin and A. Hasegawa, “Soliton management in the nonlinear Schrödinger equation model with varying dispersion, nonlinearity, and gain,” JETP Lett. 72, 89–92 (2000).

V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

B. A. Malomed, I. M. 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).

J. F. Wang, L. Li, and S. T. Jia, “Nonlinear tunneling of optical similaritons in nonlinear waveguides,” J. Opt. Soc. Am. B 25, 1254–1260 (2008).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).

R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron. 8, 418–431 (2002).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons,” J. Mod. Opt. 57, 1456–1472 (2010).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B 19, 461–469 (2002).

J. F. Wang, L. Li, and S. T. Jia, “Nonlinear tunneling of optical similaritons in nonlinear waveguides,” J. Opt. Soc. Am. B 25, 1254–1260 (2008).

V. N. Serkin and A. Hasegawa, “Soliton management in the nonlinear Schrödinger equation model with varying dispersion, nonlinearity, and gain,” JETP Lett. 72, 89–92 (2000).

V. N. Serkin and T. L. Belyaeva, “High energy optical Schrödinger solitons,” JETP Lett. 74, 573–577 (2001).

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3, 597–603 (2007).

R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).

M. Liu and P. Shum, “Generalized coupled nonlinear equations for the analysis of asymmetric two-core fiber coupler,” Opt. Express 11, 116–119 (2003).

S. A. Ponomarenko and G. P. Agrawal, “Interaction of chirped and chirp-free similaritons in fiber amplifiers,” Opt. Express 15, 2963–2973 (2007).

L. Wu, J. F. Zhang, L. Li, Q. Tian, and K. Porsezian, “Similaritons in nonlinear optical systems,” Opt. Express 16, 6352–6360 (2008).

K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).

V. I. Kruglov, C. Aguergaray, N. G. Broderick, and J. D. Harvey, “Dispersive and rectangular similariton generation in fiber amplifiers and lasers,” Phys. Rev. A 85, 061803(R) (2012).

T. Soloman Raju and P. K. Panigrahi, “Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 81, 043820 (2010).

T. Soloman Raju and P. K. Panigrahi, “Optical similaritons in a tapered graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 84, 033807 (2011).

G. Cohen, “Soliton interaction with an external traveling wave,” Phys. Rev. E 61, 874–879 (2000).

B. A. Malomed, “Bound solitons in a nonlinear optical coupler,” Phys. Rev. E 51, R864–R866 (1995).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Nonlinear compression of solitary waves in asymmetric twin-core fibers,” Phys. Rev. E 71, 026608 (2005).

T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Self-similar propagation and compression of chirped self-similar waves in asymmetric twin-core fibers with nonlinear gain,” Phys. Rev. E 72, 046612 (2005).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. E 71, 056619 (2005).

B. A. Malomed, I. M. 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).

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).

V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Comment on ‘Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 92, 199401 (2004).

V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).

V. N. Serkin and T. L. Belyaeva, “Optimal control of optical soliton parameters: the Lax representation in the problem of soliton management,” Qunatum Elec. 32, 1007–1015 (2001).

P. G. Drazin and R. S. Johnson, Solitons: An Introduction(Cambridge University, 1988).

F. Calogero and A. Degasperis, Spectral Transform and Solitons (North-Holland, 1982).