Abundant Interaction Solutions of Sine-Gordon Equation

With the help of computer symbolic computation software (e.g., Maple), abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine-Gordon equation, and...

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Main Authors: DaZhao Lü, YanYing Cui, ChangHe Liu, ShangWen Wu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/842394
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author DaZhao Lü
YanYing Cui
ChangHe Liu
ShangWen Wu
author_facet DaZhao Lü
YanYing Cui
ChangHe Liu
ShangWen Wu
author_sort DaZhao Lü
collection DOAJ
description With the help of computer symbolic computation software (e.g., Maple), abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine-Gordon equation, and the functions used in the Wronskian determinants do not satisfy linear partial differential equations. Such interaction solutions are difficultly obtained via other methods. And the method can be automatically carried out in computer.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-05fa8fad6cb8406e8cbbbbab46986d4c2025-02-03T05:43:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/842394842394Abundant Interaction Solutions of Sine-Gordon EquationDaZhao Lü0YanYing Cui1ChangHe Liu2ShangWen Wu3School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, ChinaDepartment of Basic Science, Gengdan Institute of Beijing University of Technology, Beijing 101301, ChinaSchool of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, ChinaSchool of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, ChinaWith the help of computer symbolic computation software (e.g., Maple), abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine-Gordon equation, and the functions used in the Wronskian determinants do not satisfy linear partial differential equations. Such interaction solutions are difficultly obtained via other methods. And the method can be automatically carried out in computer.http://dx.doi.org/10.1155/2012/842394
spellingShingle DaZhao Lü
YanYing Cui
ChangHe Liu
ShangWen Wu
Abundant Interaction Solutions of Sine-Gordon Equation
Journal of Applied Mathematics
title Abundant Interaction Solutions of Sine-Gordon Equation
title_full Abundant Interaction Solutions of Sine-Gordon Equation
title_fullStr Abundant Interaction Solutions of Sine-Gordon Equation
title_full_unstemmed Abundant Interaction Solutions of Sine-Gordon Equation
title_short Abundant Interaction Solutions of Sine-Gordon Equation
title_sort abundant interaction solutions of sine gordon equation
url http://dx.doi.org/10.1155/2012/842394
work_keys_str_mv AT dazhaolu abundantinteractionsolutionsofsinegordonequation
AT yanyingcui abundantinteractionsolutionsofsinegordonequation
AT changheliu abundantinteractionsolutionsofsinegordonequation
AT shangwenwu abundantinteractionsolutionsofsinegordonequation