New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation

In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to find exact solutions of the considered equati...

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Autores principales: Inc Mustafa, Az-Zo’bi E. A., Jhangeer Adil, Rezazadeh Hadi, Nasir Ali Muhammad, Kaabar Mohammed K. A.
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/0fc56b0c06a54c09b2b41a32e479c7de
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spelling oai:doaj.org-article:0fc56b0c06a54c09b2b41a32e479c7de2021-12-05T14:10:57ZNew Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation2192-80102192-802910.1515/nleng-2021-0029https://doaj.org/article/0fc56b0c06a54c09b2b41a32e479c7de2021-11-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0029https://doaj.org/toc/2192-8010https://doaj.org/toc/2192-8029In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to find exact solutions of the considered equation involving bright solitons, singular periodic solitons, and singular bright solitons. These solutions are also described graphically while taking suitable values of free parameters. The applied algorithms are effective and convenient in handling the solution process for Ito equation that appears in many phenomena.Inc MustafaAz-Zo’bi E. A.Jhangeer AdilRezazadeh HadiNasir Ali MuhammadKaabar Mohammed K. A.De Gruyterarticlepartial differential equationito equationsimplest equation methodsolitontraveling wave solution35c0735c0835c09Engineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 374-384 (2021)
institution DOAJ
collection DOAJ
language EN
topic partial differential equation
ito equation
simplest equation method
soliton
traveling wave solution
35c07
35c08
35c09
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle partial differential equation
ito equation
simplest equation method
soliton
traveling wave solution
35c07
35c08
35c09
Engineering (General). Civil engineering (General)
TA1-2040
Inc Mustafa
Az-Zo’bi E. A.
Jhangeer Adil
Rezazadeh Hadi
Nasir Ali Muhammad
Kaabar Mohammed K. A.
New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
description In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to find exact solutions of the considered equation involving bright solitons, singular periodic solitons, and singular bright solitons. These solutions are also described graphically while taking suitable values of free parameters. The applied algorithms are effective and convenient in handling the solution process for Ito equation that appears in many phenomena.
format article
author Inc Mustafa
Az-Zo’bi E. A.
Jhangeer Adil
Rezazadeh Hadi
Nasir Ali Muhammad
Kaabar Mohammed K. A.
author_facet Inc Mustafa
Az-Zo’bi E. A.
Jhangeer Adil
Rezazadeh Hadi
Nasir Ali Muhammad
Kaabar Mohammed K. A.
author_sort Inc Mustafa
title New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
title_short New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
title_full New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
title_fullStr New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
title_full_unstemmed New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
title_sort new soliton solutions for the higher-dimensional non-local ito equation
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/0fc56b0c06a54c09b2b41a32e479c7de
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AT rezazadehhadi newsolitonsolutionsforthehigherdimensionalnonlocalitoequation
AT nasiralimuhammad newsolitonsolutionsforthehigherdimensionalnonlocalitoequation
AT kaabarmohammedka newsolitonsolutionsforthehigherdimensionalnonlocalitoequation
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