Single and multi-solitary wave solutions to a class of nonlinear evolution equations

doi:10.1016/j.jmaa.2008.01.039

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	Single and multi-solitary wave solutions to a class of nonlinear evolution equations
	Wang, Deng-Shan 1,2; Li, Hongbo1
	2008-07-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	343 期号:1 页码:273-298
摘要	In this paper, an effective discrimination algorithm is presented to deal with equations arising from physical problems. The aim of the algorithm is to discriminate and derive the single traveling wave solutions of a large class of nonlinear evolution equations. Many examples are given to illustrate the algorithm. At the same time, some factorization technique are presented to construct the traveling wave solutions of nonlinear evolution equations, such as Camassa-Holm equation, Kolmogorov-Petrovskii-Piskunov equation, and so on. Then a direct constructive method called multi-auxiliary equations expansion method is described to derive the multi-solitary wave solutions of nonlinear evolution equations. Finally, a class of novel multi-solitary wave solutions of the (2 + 1)-dimensional asymmetric version of the Nizhnik-Novikov-Veselov equation are given by three direct methods. The algorithm proposed in this paper can be steadily applied to some other nonlinear problems. (c) 2008 Elsevier Inc. All rights reserved.
关键词	travelling wave solution multi-solitary wave factorization technique Bessel functions Hirota's bilinear method Painleve analysis Riccati equation elliptic equation
DOI	10.1016/j.jmaa.2008.01.039
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000255653900024
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5711
专题	系统科学研究所
通讯作者	Wang, Deng-Shan
作者单位	1.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Deng-Shan,Li, Hongbo. Single and multi-solitary wave solutions to a class of nonlinear evolution equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2008,343(1):273-298.
APA	Wang, Deng-Shan,&Li, Hongbo.(2008).Single and multi-solitary wave solutions to a class of nonlinear evolution equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,343(1),273-298.
MLA	Wang, Deng-Shan,et al."Single and multi-solitary wave solutions to a class of nonlinear evolution equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 343.1(2008):273-298.