THERMAL SCIENCE

International Scientific Journal

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Shu-Hao Wu

,

Bao-Jun Zhao

A VARIABLE COEFFICIENT MKDV DYNAMIC MODEL FOR NON-LINEAR LONG WAVE

ABSTRACT
In this paper, we obtained a variable coefficient partial differential model that characterizes non-linear long waves with topography effects through the multi-scale perturbation expansion method, especially the new model caused by the variation of background shear flow over time. Next, the expansion Jacobian elliptic function method is used to provide an analytical solution for the model and analyze its wave characteristics.
KEYWORDS
Nonlinear long wave, Expansion Jacobi elliptic function, Variable coefficient mKdV
PAPER SUBMITTED: 2024-03-14
PAPER REVISED: 2024-03-26
PAPER ACCEPTED: 2024-05-09
PUBLISHED ONLINE: 2024-08-24
DOI REFERENCE: https://doi.org/10.2298/TSCI240314186W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3411 - 3415]
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A variable coefficient mKdV dynamic model for non-linear long wave

© 2024 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