New Abundant Optical Solutions for The Stochastic Heisenberg Ferromagnetic Equation Used in a Ferromagnet via Two Different Methods
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5751Keywords:
White noise, stochastic solutions, Jacobi elliptic functions method, random variable coefficientsAbstract
In this study, we look at the stochastic Heisenberg Ferromagnetic equation (SHFE) perturbed in the Itô sense by multiplicative Brownian motion. The SHFE is transformed into a different Heisenberg Ferromagnetic equation with random variable coefficients (HFE-RVCs) utilizing the proper transformation. To provide novel solutions for trigonometric functions, hyperbolic functions, and rational functions for HFE-RVCs, we employ the generalizing Riccati equation mapping technique (GREM-method) and Jacobi elliptic functions (JEF-method). The solutions of SHFE can then be obtained. For the first time, we postulate that the solution to the Heisenberg Ferromagnetic equation is stochastic, in contrast to earlier research that suggested it was deterministic. Additionally, we investigate the impact of multiplicative Brownian motion on the exact solutions of the SHFE by offering several graphical representations.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Wael Mohammed, Naveed Iqbal, Hijyah Alshammari, Mohamed Algolam
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.