Travelling wave and optical soliton solutions of the Wick-type stochastic NLSE with conformable derivatives

ULUTAŞ E.

CHAOS SOLITONS & FRACTALS, vol.148, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 148
  • Publication Date: 2021
  • Doi Number: 10.1016/j.chaos.2021.111052
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Keywords: Stochastic NLSE, Conformable derivative, Extended G', G-expansion method, Jacobi elliptic function ansatz method, NONLINEAR SCHRODINGERS EQUATION, BANDPASS-FILTERS, PERTURBATION
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this study, we have considered Wick-type stochastic nonlinear Schrodinger equation with conformable derivatives in Kerr law media. We have constructed exact various solutions of this equation using two analytic methods, white noise analysis and Hermit transform. We have applied the inverse Hermit transform to obtain stochastic solutions and then we have shown how these stochastic solutions can be presented as Brownian motion functional solutions by two application examples. (c) 2021 Elsevier Ltd. All rights reserved.