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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De Gruyter
2021
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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) |
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partial differential equation ito equation simplest equation method soliton traveling wave solution 35c07 35c08 35c09 Engineering (General). Civil engineering (General) TA1-2040 |
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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 |
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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 |
work_keys_str_mv |
AT incmustafa newsolitonsolutionsforthehigherdimensionalnonlocalitoequation AT azzobiea newsolitonsolutionsforthehigherdimensionalnonlocalitoequation AT jhangeeradil newsolitonsolutionsforthehigherdimensionalnonlocalitoequation AT rezazadehhadi newsolitonsolutionsforthehigherdimensionalnonlocalitoequation AT nasiralimuhammad newsolitonsolutionsforthehigherdimensionalnonlocalitoequation AT kaabarmohammedka newsolitonsolutionsforthehigherdimensionalnonlocalitoequation |
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1718371521689288704 |