This article is cited in 6 papers

Integro-differential equations and functional analysis

Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation

Iroda I. Baltaeva, Ilkham D. Rakhimov, Muzaffar M. Khasanov

Urgench State University, Urgench, Uzbekistan

Abstract: This paper is dedicated to finding the traveling wave solutions of the loaded modified Korteweg-de Vries equation. It is shown to find the solutions via $(G'/G)$ — expansion method which is one of the most effective ways of finding solutions. When the parameters are taken as special values the solitary waves are also derived from the traveling waves. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. This method is easy to implement using well-known software packages, which allows you to solve complex nonlinear evolution equations of mathematical physics.

Keywords: soliton solution, loaded mKdV, nonlinear equations, expansion method.

UDC: 517.95

MSC: 35Q51, 35Q53

Received: 16.05.2022
Revised: 08.06.2022
Accepted: 17.06.2022

Language: English

DOI: 10.26516/1997-7670.2022.41.85

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