On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications

In this article, the analytical solutions for modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson equations have been extracted with the help of very simple transformation. These results hold numerous traveling wave solutions that are of key importance in elucidating some physical cir...

Full description

Bibliographic Details
Main Authors: Kalim U. Tariq, Aly R. Seadawy
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364718300065
_version_ 1818537584828088320
author Kalim U. Tariq
Aly R. Seadawy
author_facet Kalim U. Tariq
Aly R. Seadawy
author_sort Kalim U. Tariq
collection DOAJ
description In this article, the analytical solutions for modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson equations have been extracted with the help of very simple transformation. These results hold numerous traveling wave solutions that are of key importance in elucidating some physical circumstance. The technique can also be functional to other sorts of nonlinear evolution equations in contemporary areas of research. Keyword: Modified Benjamin-Bona-Mahony equation, Drinfel’d-Sokolov-Wilson equation, Auxiliary equation method
first_indexed 2024-12-11T18:52:39Z
format Article
id doaj.art-a25690e4db344ddc95062be8719f311a
institution Directory Open Access Journal
issn 1018-3647
language English
last_indexed 2024-12-11T18:52:39Z
publishDate 2020-01-01
publisher Elsevier
record_format Article
series Journal of King Saud University: Science
spelling doaj.art-a25690e4db344ddc95062be8719f311a2022-12-22T00:54:15ZengElsevierJournal of King Saud University: Science1018-36472020-01-01321156162On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applicationsKalim U. Tariq0Aly R. Seadawy1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, PR China; Department of Mathematics, Mirpur University of Science and Technology, Mirpur (AJK) 10250, PakistanMathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt; Corresponding author at: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia.In this article, the analytical solutions for modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson equations have been extracted with the help of very simple transformation. These results hold numerous traveling wave solutions that are of key importance in elucidating some physical circumstance. The technique can also be functional to other sorts of nonlinear evolution equations in contemporary areas of research. Keyword: Modified Benjamin-Bona-Mahony equation, Drinfel’d-Sokolov-Wilson equation, Auxiliary equation methodhttp://www.sciencedirect.com/science/article/pii/S1018364718300065
spellingShingle Kalim U. Tariq
Aly R. Seadawy
On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
Journal of King Saud University: Science
title On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
title_full On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
title_fullStr On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
title_full_unstemmed On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
title_short On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
title_sort on the soliton solutions to the modified benjamin bona mahony and coupled drinfel d sokolov wilson models and its applications
url http://www.sciencedirect.com/science/article/pii/S1018364718300065
work_keys_str_mv AT kalimutariq onthesolitonsolutionstothemodifiedbenjaminbonamahonyandcoupleddrinfeldsokolovwilsonmodelsanditsapplications
AT alyrseadawy onthesolitonsolutionstothemodifiedbenjaminbonamahonyandcoupleddrinfeldsokolovwilsonmodelsanditsapplications