Work

New stochastic traveling wave solutions for the Kundu–Mukherjee–Naskar equation with random variable coefficients

Year: 2025

Type: article

Abstract: The stochastic Kundu–Mukherjee–Naskar (SKMN) equation with multiplicative noise is considered. We apply the appropriate transformation to the SKMN to create another Kundu–Mukherjee–Naskar equation with random variable coefficients. We use the mapping approach to provide innovative trigonometric, hyperbolic, and rational solutions for KMNE-RVCs. Following that, we obtain the solutions of SKMN. For the first time in the Kundu–Mukherjee–Naskar equation, we propose that the solution to the wave equation is stochastic, while all prior studies assumed it was deterministic. Some previous results are generated. Furthermore, we provide a variety of graphical representations to show how multiplicative noise affects the exact solutions of the stochastic Kundu–Mukherjee–Naskar.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2025.02.002

Authors: Wael W. Mohammed, Farah M. Al-Askar

Institutions: Mansoura University, University of Ha'il, Princess Nourah bint Abdulrahman University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

OpenAlex ID: W4407423606

FWCI: 1.681

Cites: 25

Cited by: 4

Related to: 10