New Exact Solitary Solutions for Stochastic Graphene Sheets Equation Using Two Different Methods

Authors

Sofian T. Obeidat Department of Mathematics, College of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia https://orcid.org/0000-0003-3096-9464
Hamdy M Ahmed Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt https://orcid.org/0000-0001-8772-3663
Karim K Ahmed Department of Mathematics, Faculty of Engineering, German International University (GIU), New Administrative Capital, Cairo, Egypt https://orcid.org/0000-0003-0414-4960
Wael W. Mohammed Department of Mathematics, College of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia https://orcid.org/0000-0002-1402-7584

DOI:

https://doi.org/10.37256/cm.6420257514

Keywords:

stochastic PDE, stability by noise, exact solutions, Sardar subequation method, Jacobi elliptic function method

Abstract

The Stochastic Graphene Sheets Equation (SGSE) is taken into consideration in this study. By applying two different methods such as the Sardar subequation method and Jacobi Elliptic Function (JEF) method, we obtain new periodic solitons, dark and bright solitons, anti-Kink and Kink solitons solutions for the SGSE. Because graphene sheets are important in many fields, such as electronics, photonics, and energy storage, the solutions of the stochastic graphene sheets model are beneficial in understanding several fascinating scientific phenomena. Using MATLAB, we exhibit several 2D and 3D graphs that illustrate the impact of multiplicative noise on the exact solutions of SGSE.

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Published

2025-07-31

Issue

Contemporary Mathematics, Volume 6 Issue 4 (2025), 3846-5367

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.