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New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms
Yan, ZY
2006-03-01
Source PublicationNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN0362-546X
Volume64Issue:5Pages:901-909
AbstractIt has been shown that many fully nonlinear wave equations with nonlinear dispersion terms possess compacton solutions and solitary patterns solutions. In this paper, with the aid of Maple, the mKdV equation, the equation with a source term, the five order KdV-like equation and the KdV-mKdV equation are investigated using some new, generalized transformations. As a consequence, it is shown that these equations with linear dispersion terms admit new compacton-like solutions and solitary patterns-like solutions. These transformations can be also extended to other nonlinear wave equations with nonlinear dispersion terms to seek new compacton-like solutions and solitary patterns-like solutions. (c) 2005 Published by Elsevier Ltd.
Keywordnonlinear wave equation comptacton-like solution solitary patterns-like solution symbolic computation
DOI10.1016/j.na.2005.03.115
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000234958300002
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/2612
Collection系统科学研究所
Corresponding AuthorYan, ZY
AffiliationChinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Yan, ZY. New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2006,64(5):901-909.
APA Yan, ZY.(2006).New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,64(5),901-909.
MLA Yan, ZY."New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 64.5(2006):901-909.
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