Advanced Mathematical Models & Applications

ISSN Online: 2519-4445

Advanced Mathematical Models & Applications is a peer-reviewed, open access journal meant to publish original and significant results and articles in all areas of mathematical modeling and their applications. The aim of this Journal is to bring together researchers and practitioners from academia and industry to establishing new collaborations in this area. The Journal will consider for publication also review articles, literature reviews, correspondence concerning views and information published in previous issues.

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An Extraction of Soliton Solutions of the Nonlinear Mathematical Model in a Magneto-Elastic Circular Rod

Published: 01-04-2026

https://doi.org/10.62476/amma11175

Abstract

We establish novel computational soliton solutions for the M-truncated longitudinal wave equation in a magneto-electro-elastic (MEE) rod in form of exponential functions. We successfully put these solutions in hyperbolic functions form. The Kudryashov expansion method (KEM) is used to find different dynamic wave structures of soliton solutions within the context of evolutionary dynamic structures of solitary wave solutions. This method offers a proficient approach for executing soliton solutions. In order to illustrate a solution profile and features, we choose suitable parameters values. The empirical demonstration of the physical behavior of these solutions aims to enhance comprehension of the physical phenomena associated with the dynamical models employed in mathematical physics.