AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (1.1 MB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Soliton solutions for some nonlinear models in mathematical physics via conservation laws

Department of Mathematics, College of Science and Arts, Jouf university, Al-Gurayat, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Sciences, South Valley university, Qena, Egypt
Show Author Information

Abstract

In this paper, we derive the soliton solutions from conserved quantities for the Benjamin-Bona-Mahoney equation with dual-power law nonlinearity (BBM), modified regularized long wave (MRLW) equation, modified nonlinearly dispersive KdV equations 2K(2, 2, 1) and 3K(3, 2, 2) equation, which are constructed by the multiplier approach (variational derivative method). Finally, we give the numerical simulations to illustrate this method.

Keywords

multiplierBenjamin-Bona-Mahoney equation with dual-power law nonlinearitymodified regularized long wave equationnonlinearly dispersive KdV equations 2K(2, 2, 1) and 3K(3, 2, 2) equationsoliton solutions
CLC number: 70S10, 35Q53, 76M60

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 15075-15093
DOI: 10.3934/math.2022826

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Mohammed FA. Soliton solutions for some nonlinear models in mathematical physics via conservation laws. AIMS Mathematics, 2022, 7(8): 15075-15093. https://doi.org/10.3934/math.2022826

5

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 06 April 2022
Revised: 18 May 2022
Accepted: 22 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)