THERMAL SCIENCE

International Scientific Journal

Mukhtar Y. Y. Abdalla

,

Bakery A.e Younies

,

Haroon D.S. Adam

,

Ahmed M.i Adam

,

Yagoub A.s Arko

,

Mohammad S. Jazmati

MULTIPLE SOLITON SOLUTIONS OF THE MODEL MKDV WITH TIME-DEPENDENT VARIABLE COEFFICIENTS

ABSTRACT
We investigate exact multiple soliton waves in the time-dependent variable coefficients modified KdV (mKdV) equation. Employing similarity transformations, as well as tanh and sech function methods, we present multiple kink wave, singular kink, and triangular function solutions for the time-dependent mKdV equation with variable coefficients. Specifically. We investigate the construction of multiple solitons by choosing a special form of the time variable. Our results demonstrate that the specific choice of these analogous temporal variables can effectively control the characteristics of numerous soliton kinks, offering potential applications in diverse fields
KEYWORDS
mKdV equations, exact solutions, similarity transformation
PAPER SUBMITTED: 2024-06-20
PAPER REVISED: 2024-10-10
PAPER ACCEPTED: 2024-10-30
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406029A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [5029 - 5036]
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Multiple soliton solutions of the model mKdV with time-dependent variable coefficients

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence