Journal Article

·2023 OPEN ACCESS

On the revealing of optical soliton solutions of the stochastic perturbed nonlinear Schrödinger equation in the presence of the Kerr law of self-phase modulation

Ismail Onder YTU , Müslüm Özişik YTU , Aydın Seçer YTU , Mustafa Bayram YTU

New Trends in Mathematical Science

Abstract

In this study, an attempt to obtain optical soliton solutions of stochastic perturbed (1+1)-dimensional nonlinear Schrödinger equation having the Kerr law nonlinearity is presented. With the help of complex wave transform, the investigated nonlinear partial differential equation was converted into the nonlinear ordinary differential form. Analytical stochastic optical soliton solutions of the ordinary differential form were derived by applying the Kudryashov auxiliary equation method. By replacing the wave transformation and the appropriate solution set parameters, the main equation is provided. Graphic presentations were made for better interpretation of the results.

Keywords

Soliton Nonlinear Schrödinger equation Transformation (genetics) Nonlinear system Partial differential equation Mathematical analysis Ordinary differential equation Mathematics Schrödinger equation Modulation (music) Differential equation Physics Quantum mechanics Chemistry

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