Optical soliton perturbation with anti-cubic nonlinearity by semi-inverse variational principle

Abstract The perturbed nonlinear Schrodinger's equation with anti-cubic nonlinearity is studied with the aid of semi-inverse variational principle. The perturbation terms that are included are inter-modal dispersion, third and fourth order dispersion, nonlinear dispersion and self-steepening term, the last two of which appear with full nonlinearity.

[1]  Bede Liu,et al.  Generalized Variational Principle for Electromagnetic Field with Magnetic Monopoles by He's Semi-inverse Method , 2009 .

[2]  Ahmet Yildirim,et al.  Application of He's semi-inverse method to the nonlinear Schrödinger equation , 2007, Comput. Math. Appl..

[3]  Anjan Biswas,et al.  OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRÖDINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE , 2012 .

[4]  Anjan Biswas,et al.  Resonant optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle , 2017 .

[5]  Anjan Biswas,et al.  Optical Solitons by He’s Variational Principle in a Non-Kerr Law Media , 2009 .

[6]  Anjan Biswas,et al.  Optical soliton perturbation with spatio-temporal dispersion in parabolic and dual-power law media by semi-inverse variational principle , 2014 .

[7]  Anjan Biswas,et al.  Optical solitons and conservation laws with anti-cubic nonlinearity , 2016 .

[8]  A. Biswas,et al.  Optical solitons with anti-cubic nonlinearity using three integration schemes , 2017 .

[9]  M. A. Abdelkawy,et al.  Optical solitons in (1 + 1) and (2 + 1) dimensions , 2014 .

[10]  A. Biswas,et al.  Optical solitons with anti-cubic nonlinearity by extended trial equation method , 2017 .

[11]  Yue Wu,et al.  Variational approach to the generalized Zakharov equations , 2009 .

[12]  M. Belić,et al.  Bright and exotic solitons in optical metamaterials by semi-inverse variational principle , 2015 .

[13]  K. Libarir,et al.  A semi-inverse variational method for generating the bound state energy eigenvalues in a quantum system: The Schrödinger equation , 2009 .

[14]  Ji-Huan He,et al.  ON THE SEMI-INVERSE METHOD AND VARIATIONAL PRINCIPLE , 2013 .

[15]  M. Najafi,et al.  Dark soliton and periodic wave solutions of the Biswas–Milovic equation , 2016 .