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On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations
Shen, Yaliang2,3; Zhu, Yueping2; Cao, Nanbin1,3
2009-04-01
Source PublicationCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN1007-5704
Volume14Issue:4Pages:1176-1185
AbstractThe overall aim of the present paper is to find and analyze the new non-travelling wave solutions of the nonlinear evolution and wave equations. With the aid of symbolic computation and based on the generalized extended tanh-function method, we propose the newly extended tanh-function expansion algorithm and get many new non-travelling wave solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. The solutions which we obtain are more abundant than the solutions which the generalized extended tanh-function method gets. At the same time, the solutions contain arbitrary functions which may be helpful to explain some complex phenomena. We also give some figures to describe the property of these solutions. In additions, the method can also be successfully applied to other nonlinear evolution and wave equations. (C) 2008 Elsevier B.V. All rights reserved.
KeywordSymbolic computation Newly extended tanh-function expansion method Non-travelling wave solution Soliton-like solution
DOI10.1016/j.cnsns.2008.01.002
Language英语
WOS Research AreaMathematics ; Mechanics ; Physics
WOS SubjectMathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS IDWOS:000264295800026
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/8476
Collection中国科学院数学与系统科学研究院
Corresponding AuthorCao, Nanbin
Affiliation1.Shijiazhuang Univ Econ, Sch Sci, Shijiazhuang 050031, Hebei, Peoples R China
2.Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China
3.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Shen, Yaliang,Zhu, Yueping,Cao, Nanbin. On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2009,14(4):1176-1185.
APA Shen, Yaliang,Zhu, Yueping,&Cao, Nanbin.(2009).On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,14(4),1176-1185.
MLA Shen, Yaliang,et al."On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 14.4(2009):1176-1185.
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