New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups

New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups

In this article, new exact solutions of 2+1-dimensional Date Jimbo Kashiwara Miwa (DJKM) equation are constructed by applying the Lie symmetry method. By considering similarity variables obtained through Lie symmetry generators, considered 2+1-dimensional DJKM equation is transformed into a linear p...

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Main Authors: Khudija Bibi, Khalil Ahmad
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/5533983
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spelling doaj-7589b29bbb854091b4d2731bd86a62bf2021-05-17T00:00:48ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/5533983New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry GroupsKhudija Bibi0Khalil Ahmad1Department of MathematicsDepartment of MathematicsIn this article, new exact solutions of 2+1-dimensional Date Jimbo Kashiwara Miwa (DJKM) equation are constructed by applying the Lie symmetry method. By considering similarity variables obtained through Lie symmetry generators, considered 2+1-dimensional DJKM equation is transformed into a linear partial differential equation with reduction of one independent variable. Afterwards by using Lie symmetry generators of this linear PDE, different invariant solutions involving exponential and logarithmic functions are explored which lead to the new exact solutions of the DJKM equation. Graphical representations of the obtained solutions are also presented to show the significance of the current work.http://dx.doi.org/10.1155/2021/5533983
collection DOAJ
language English
format Article
sources DOAJ
author Khudija Bibi
Khalil Ahmad
spellingShingle Khudija Bibi
Khalil Ahmad
New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups
Mathematical Problems in Engineering
author_facet Khudija Bibi
Khalil Ahmad
author_sort Khudija Bibi
title New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups
title_short New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups
title_full New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups
title_fullStr New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups
title_full_unstemmed New Exact Solutions of Date Jimbo Kashiwara Miwa Equation Using Lie Symmetry Groups
title_sort new exact solutions of date jimbo kashiwara miwa equation using lie symmetry groups
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description In this article, new exact solutions of 2+1-dimensional Date Jimbo Kashiwara Miwa (DJKM) equation are constructed by applying the Lie symmetry method. By considering similarity variables obtained through Lie symmetry generators, considered 2+1-dimensional DJKM equation is transformed into a linear partial differential equation with reduction of one independent variable. Afterwards by using Lie symmetry generators of this linear PDE, different invariant solutions involving exponential and logarithmic functions are explored which lead to the new exact solutions of the DJKM equation. Graphical representations of the obtained solutions are also presented to show the significance of the current work.
url http://dx.doi.org/10.1155/2021/5533983
work_keys_str_mv AT khudijabibi newexactsolutionsofdatejimbokashiwaramiwaequationusingliesymmetrygroups
AT khalilahmad newexactsolutionsofdatejimbokashiwaramiwaequationusingliesymmetrygroups
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