Bright, dark, and singular solitons in optical fibers with spatio-temporal dispersion and spatially dependent coefficients

Abstract Investigated in this work is the nonlinear Schrödinger equation with space-dependent parameters, which models the propagation of optical solitons in spatially inhomogeneous optical fiber with detuning, spatiotemporal dispersion, intermodal dispersion, and fiber gain or loss. Through the ansatz scheme, analytical bell, kink, and singular soliton solutions under certain coefficient constraints are obtained.

[1]  Anjan Biswas,et al.  Soliton solutions of the resonant nonlinear Schrödinger’s equation in optical fibers with time-dependent coefficients by simplest equation approach , 2013 .

[2]  D. Yao,et al.  Spatial optical solitons in fifth order and seventh order weakly nonlocal nonlinear media , 2013 .

[3]  Anjan Biswas,et al.  Optical Solitons in Magneto-optic Waveguides with Spatio-temporal Dispersion , 2014 .

[4]  Anjan Biswas,et al.  Optical solitons with spatio-temporal dispersion by first integral approach and functional variable method , 2014 .

[5]  Abdul-Majid Wazwaz,et al.  Multiple-soliton solutions for a (3 + 1)-dimensional generalized KP equation , 2012 .

[6]  Anjan Biswas,et al.  Dark optical solitons in power law media with time-dependent coefficients , 2009 .

[7]  Hui-Qin Hao,et al.  Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium , 2015 .

[8]  M. Belić,et al.  Breather solutions of the generalized nonlinear Schrödinger equation with spatially modulated parameters and a special external potential , 2014 .

[9]  Anjan Biswas,et al.  Optical solitons in birefringent fibers with spatio-temporal dispersion , 2014 .

[10]  Qin Zhou,et al.  Exact optical solitons in metamaterials with cubic–quintic nonlinearity and third-order dispersion , 2015 .

[11]  Anjan Biswas,et al.  Introduction to non-Kerr Law Optical Solitons , 2006 .

[12]  A. Biswas,et al.  Thirring optical solitons in birefringent fibers with spatio-temporal dispersion and Kerr law nonlinearity , 2014 .

[13]  Q. Zhou,et al.  Analytic study on solitons in the nonlinear fibers with time-modulated parabolic law nonlinearity and Raman effect , 2014 .

[14]  C. Dai,et al.  Controllable dynamical behaviors for spatiotemporal bright solitons on continuous wave background , 2013 .

[15]  Anjan Biswas,et al.  Solitary wave solution for the generalized KdV equation with time-dependent damping and dispersion , 2009 .

[16]  Qin Zhou Analytical solutions and modulation instability analysis to the perturbed nonlinear Schrödinger equation , 2014 .

[17]  Abdul-Majid Wazwaz,et al.  New (3+1)-dimensional nonlinear evolution equations with mKdV equation constituting its main part: Multiple soliton solutions , 2015 .

[18]  M. Belić,et al.  Two-component vector solitons in defocusing Kerr-type media with spatially modulated nonlinearity , 2014 .

[19]  Anjan Biswas,et al.  Optical solitons with non-Kerr law nonlinearity and inter-modal dispersion with time-dependent coefficients , 2010 .

[20]  D. Yao,et al.  Optical soliton perturbation with time- and space-dependent dissipation (or gain) and nonlinear dispersion in Kerr and non-Kerr media , 2013 .

[21]  Anjan Biswas,et al.  Solitons and conservation laws of coupled Ostrovsky equation for internal waves , 2015, Appl. Math. Comput..

[22]  M. Eslami,et al.  Dark optical solitons of Biswas-Milovic equation with dual-power law nonlinearity , 2015 .

[23]  Anjan Biswas,et al.  Optical solitons in nonlinear directional couplers with spatio-temporal dispersion , 2014 .

[24]  Qiuping Zhu,et al.  Optical solitons in media with time-modulated nonlinearities and spatiotemporal dispersion , 2015 .

[25]  C. Dai,et al.  Nonautonomous solitons in parity-time symmetric potentials , 2014 .