Mathematical Derivation and Stability Behavior of Innovative Soliton Solutions for Nonlinear Wave Propagation
DOI:
https://doi.org/10.69728/jst.v12.108Abstract
The purpose of the following paper is to create generic soliton solutions using the framework of the generalized modified equal width (MEW) equation. To achieve that, we have chosen the expansion approach, which is an effective, reliable, and compatible method. The outcomes achieved in this instance are defined in terms of a mix of rational, trigonometric, and hyperbolic functions. The corresponding physical features of these resultant soliton solutions and the influence of parameters are presented by carving two-dimensional and three-dimensional and contour graphs using MATLAB. For estimated values of these parameters, bell-shaped soliton, singular soliton, parabolic soliton, periodic soliton and solitons of other types are formulated. Visualizing these solutions according to certain parameter selections leads to a more profound understanding of the intricate behavior of the system. The paper introduces exciting results about soliton solutions for the specified equation, uncovering hitherto undetected aspects of this interesting mathematical problem.
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Copyright (c) 2026 Nasir Uddin, Prof Dr. Md. Musa Miah, Prof Dr. Md. Mahmud Alam, Md. Antajul Islam, Nasrin Nahar Rimu, Pinakee Dey (Author)
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