On the solitary wave configurations of nonlinear Schr\"odinger equation under the effect of L\'evy noise

TL;DR

This paper investigates how Le9vy noise influences solitary wave solutions of the nonlinear Schrf6dinger equation, revealing diverse stochastic behaviors and providing exact solutions through advanced analytical methods.

Contribution

It introduces a generalized Kudryashov method to find exact stochastic solutions and analyzes the impact of Le9vy noise on wave dynamics.

Findings

Diverse stochastic solutions under specific conditions

Effect of Le9vy noise on wave stability and behavior

Mathematical evaluations of noise influence on solutions

Abstract

This study aims to examine the effect of L\'evy noise on the solutions of the nonlinear Schr\"odinger equation. An improved diversity of stochastic solutions is instinctively located discretely on certain conditions by applying the generalized Kudryashov method. Moreover, the dynamical behaviors of these exact results of the nonlinear Schr\"odinger equation are interpreted in the context of the effect of L\'evy noise. Even mathematical evaluations have been conducted and presented.