Chirped W-Shaped Optical Solitons of Modified Nonlinear Schrödinger Equation

EasyChair Preprint 6726

Abstract

The aim of this paper investigated the exact nonlinearly chirped W-shaped soliton solutions of modified nonlinear Schrödinger equation which is proposed to describe the short pulse propagation in long monomode optical fibres. Firstly, we get the corresponding chirping parameter of the modified nonlinear Schrödinger equation by use of a complex envelope traveling-wave ansatz. Secondly, substituting this chirping parameter the modified nonlinear Schrödinger equation has been reduced to an elliptic differential equation with a fourth-degree nonlinear term. Thirdly, I apply localized soliton ansatz of the sech type which allows for obtaining W-shaped soliton solution. Lastly, we get the 2-dim and 3-dim graphs of the W-shaped soliton solution by giving specific values to the parameters.

Keyphrases: Ansatz method, Modified nonlinear Schrödinger equation, W-shaped soliton

@booklet{EasyChair:6726,
  author    = {Mustafa Mizrak},
  title     = {Chirped W-Shaped Optical Solitons of Modified Nonlinear Schrödinger Equation},
  howpublished = {EasyChair Preprint 6726},
  year      = {EasyChair, 2021}}