Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation

With the aid of Maple symbolic computation and Lie group method, (2+1)-dimensional PBLMP equation is reduced to some (1+1)-dimensional PDE with constant coefficients. Using the homoclinic test technique and auxiliary equation methods, we obtain new exact nontraveling solution with arbitrary function...

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Main Authors: Chen Han-Lin, Xian Da-Quan
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/784134
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spelling doaj-83843a851b3e439f9606fc79d84fb7ce2020-11-24T21:30:39ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/784134784134Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli EquationChen Han-Lin0Xian Da-Quan1School of Sciences, Southwest University of Science and Technology, Mianyang, Sichuan 621010, ChinaSchool of Sciences, Southwest University of Science and Technology, Mianyang, Sichuan 621010, ChinaWith the aid of Maple symbolic computation and Lie group method, (2+1)-dimensional PBLMP equation is reduced to some (1+1)-dimensional PDE with constant coefficients. Using the homoclinic test technique and auxiliary equation methods, we obtain new exact nontraveling solution with arbitrary functions for the PBLMP equation.http://dx.doi.org/10.1155/2013/784134
collection DOAJ
language English
format Article
sources DOAJ
author Chen Han-Lin
Xian Da-Quan
spellingShingle Chen Han-Lin
Xian Da-Quan
Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation
Abstract and Applied Analysis
author_facet Chen Han-Lin
Xian Da-Quan
author_sort Chen Han-Lin
title Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation
title_short Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation
title_full Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation
title_fullStr Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation
title_full_unstemmed Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation
title_sort symmetry reduced and new exact nontraveling wave solutions of (2+1)-dimensional potential boiti-leon-manna-pempinelli equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description With the aid of Maple symbolic computation and Lie group method, (2+1)-dimensional PBLMP equation is reduced to some (1+1)-dimensional PDE with constant coefficients. Using the homoclinic test technique and auxiliary equation methods, we obtain new exact nontraveling solution with arbitrary functions for the PBLMP equation.
url http://dx.doi.org/10.1155/2013/784134
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AT xiandaquan symmetryreducedandnewexactnontravelingwavesolutionsof21dimensionalpotentialboitileonmannapempinelliequation
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