Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations

Different wave solutions assist to interpret phenomena in different aspects of optics, physics, plasma physics, engineering, and other related subjects. The higher dimensional generalized Boussinesq equation (gBE) and the Klein-Gordon (KG) equation have remarkable applications in the field of quantu...

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Published inJournal of King Saud University. Science Vol. 33; no. 6; p. 101515
Main Authors Chu, Yu-Ming, Rezwan Ahamed Fahim, Md, Kundu, Purobi Rani, Ekramul Islam, Md, Ali Akbar, M., Inc, Mustafa
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2021
Subjects
gBE
KGE
sGEM
Soliton solutions
KGE
sGEM
gBE
Soliton solutions
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ISSN1018-3647
DOI10.1016/j.jksus.2021.101515

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Summary:Different wave solutions assist to interpret phenomena in different aspects of optics, physics, plasma physics, engineering, and other related subjects. The higher dimensional generalized Boussinesq equation (gBE) and the Klein-Gordon (KG) equation have remarkable applications in the field of quantum mechanics, recession flow analysis, fluid mechanics etc. In this article, the soliton solutions of the higher-dimensional nonlinear evolution equations (NLEEs) have been extracted through extending the sine-Gordon expansion method and we analyze the effect of the associated parameters and the phenomena establishing the lump, kink, rogue, bright-dark, spiked, periodic wave, anti-bell wave, singular soliton etc. Formerly, the sine-Gordon expansion (sGE) method was used only to search for lower-dimensional NLEEs. In order to illustrate the latency, we have portrayed diagrams for different values of parameters and it is noteworthy that the properties of the features change as the parameters change.
ISSN:1018-3647
DOI:10.1016/j.jksus.2021.101515