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Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena

Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena
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Year:    2022

Author:    Mohamed R. Ali, Wen-Xiu Ma, R. Sadat

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 201–212

Abstract

We present Lie symmetry analysis to explore solitary wave solutions, two-soliton type solutions and three-soliton type solutions in variable-coefficient nonlinear physical phenomena. An example is a (2+1)-dimensional variable-coefficient Bogoyavlensky-Konopelchenko (VCBK) equation. We compute the Lie algebra of infinitesimals of its symmetry vector fields and an optimal system of one-dimensional sub-Lie algebras of the resulting symmetries. Two stages of Lie symmetry reductions will be built to reduce the VCBK equation to nonlinear ordinary differential equations (ODEs) and new analytical solutions to those ODEs will be found by using the integration method. Some of such resulting solutions to the VCBK equation and their dynamics will be illustrated through three-dimensional plots.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.100920.060121

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 201–212

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Symmetry analysis partial differential equations the variable coefficients (2+1)-dimensional Bogoyavlensky-Konopelchenko equation.

Author Details

Mohamed R. Ali

Wen-Xiu Ma

R. Sadat

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