Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

In this work, we study the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation. We employ the extended tanh function method and the simple equation method to achieve analytical soliton solutions. Moreover, numerical treatment for this equation is introduced by the finite difference method....

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Autores principales: Ali Khalid K., Mehanna Mona S., Wazwaz Abdul-Majid
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/e9e84288f2bc4ff5a01cd33664ded5ee
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spelling oai:doaj.org-article:e9e84288f2bc4ff5a01cd33664ded5ee2021-12-05T14:10:57ZAnalytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation2192-80102192-802910.1515/nleng-2021-0014https://doaj.org/article/e9e84288f2bc4ff5a01cd33664ded5ee2021-08-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0014https://doaj.org/toc/2192-8010https://doaj.org/toc/2192-8029In this work, we study the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation. We employ the extended tanh function method and the simple equation method to achieve analytical soliton solutions. Moreover, numerical treatment for this equation is introduced by the finite difference method. We justify the accuracy of the obtained results by exhibiting illustrative tables and proper graphs.Ali Khalid K.Mehanna Mona S.Wazwaz Abdul-MajidDe Gruyterarticledate-jimbo-kashiwara-miwa equationthe simple equation methodthe extended tanh function methodsoliton solutionfinite difference methodEngineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 187-200 (2021)
institution DOAJ
collection DOAJ
language EN
topic date-jimbo-kashiwara-miwa equation
the simple equation method
the extended tanh function method
soliton solution
finite difference method
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle date-jimbo-kashiwara-miwa equation
the simple equation method
the extended tanh function method
soliton solution
finite difference method
Engineering (General). Civil engineering (General)
TA1-2040
Ali Khalid K.
Mehanna Mona S.
Wazwaz Abdul-Majid
Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
description In this work, we study the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation. We employ the extended tanh function method and the simple equation method to achieve analytical soliton solutions. Moreover, numerical treatment for this equation is introduced by the finite difference method. We justify the accuracy of the obtained results by exhibiting illustrative tables and proper graphs.
format article
author Ali Khalid K.
Mehanna Mona S.
Wazwaz Abdul-Majid
author_facet Ali Khalid K.
Mehanna Mona S.
Wazwaz Abdul-Majid
author_sort Ali Khalid K.
title Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
title_short Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
title_full Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
title_fullStr Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
title_full_unstemmed Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
title_sort analytical and numerical treatment to the (2+1)-dimensional date-jimbo-kashiwara-miwa equation
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/e9e84288f2bc4ff5a01cd33664ded5ee
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AT mehannamonas analyticalandnumericaltreatmenttothe21dimensionaldatejimbokashiwaramiwaequation
AT wazwazabdulmajid analyticalandnumericaltreatmenttothe21dimensionaldatejimbokashiwaramiwaequation
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