New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations

We investigate the (2+1)-dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up...

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Main Authors: Ming Song, Shaoyong Li, Jun Cao
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/652649
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author Ming Song
Shaoyong Li
Jun Cao
author_facet Ming Song
Shaoyong Li
Jun Cao
author_sort Ming Song
collection DOAJ
description We investigate the (2+1)-dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions, and solitary wave solutions. Some previous results are extended.
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language English
publishDate 2010-01-01
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series Abstract and Applied Analysis
spelling doaj-art-d7e6ba9c044c48cbb1d689b3975174182025-08-20T03:23:52ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/652649652649New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt EquationsMing Song0Shaoyong Li1Jun Cao2Department of Mathematics, Faculty of Sciences, Yuxi Normal University, Yuxi 653100, ChinaCollege of Mathematics and Information Sciences, Shaoguan University, Shaoguan 512005, ChinaDepartment of Mathematics, Faculty of Sciences, Yuxi Normal University, Yuxi 653100, ChinaWe investigate the (2+1)-dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions, and solitary wave solutions. Some previous results are extended.http://dx.doi.org/10.1155/2010/652649
spellingShingle Ming Song
Shaoyong Li
Jun Cao
New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations
Abstract and Applied Analysis
title New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations
title_full New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations
title_fullStr New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations
title_full_unstemmed New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations
title_short New Exact Solutions for the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equations
title_sort new exact solutions for the 2 1 dimensional broer kaup kupershmidt equations
url http://dx.doi.org/10.1155/2010/652649
work_keys_str_mv AT mingsong newexactsolutionsforthe21dimensionalbroerkaupkupershmidtequations
AT shaoyongli newexactsolutionsforthe21dimensionalbroerkaupkupershmidtequations
AT juncao newexactsolutionsforthe21dimensionalbroerkaupkupershmidtequations