Random Wave Equation for the Stochastic Quantum Zakharov-Kuznetsov Equation and their Exact Solutions

Authors

  • Wael Mohammed University of Ha'il
  • Rabeb Sidaoui University of Ha'il
  • Hijyah Alshammary University of Ha'il
  • Mohamed Algolam University of Ha'il

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5665

Keywords:

Brownian motion; Zakharov-Kuznetsov equation; modified extended tanh function method

Abstract

In this study, we consider the stochastic Quantum Zakharov-Kuznetsov equation (SQZKE) perturbed in the Itô sense by multiplicative Brownian motion. We employ a suitable transformation for changing the SQZKE to another QZKE with random variable coefficients (QZKE-RVCs). Utilizing the modified extended tanh function method and the Jacobi elliptic function approach, we get novel hyperbolic, elliptic, trigonometric, and rational solutions for QZKE-RVCs. The SQZKE solutions can then be obtained. Additionally, we present many graphic representations to demonstrate how multiplicative Brownian motion affects the exact solutions of the SQZKE.

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Wael Mohammed, Rabeb Sidaoui, Hijyah Alshammary, Mohamed Algolam

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How to Cite

Random Wave Equation for the Stochastic Quantum Zakharov-Kuznetsov Equation and their Exact Solutions. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5665. https://doi.org/10.29020/nybg.ejpam.v18i1.5665