Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation

doi:10.1016/j.amc.2006.01.038

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	Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation
	Wang, Qi ; Chen, Yong ; Zhang, Hongqing
	2006-10-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	181 期号:1 页码:247-255
摘要	With the help of the symbolic computation system Maple, a new generalized algebraic method to uniformly construct solutions in terms of special function of nonlinear partial differential equations is presented by means of a more general ansatz. As an application of the method, we choose a (2 + 1)-dimensional dispersive long wave equation to illustrate the method. As a result, we can successfully obtain the solutions found by the method proposed by Fan [E.G. Fan, Phys. Lett. A 300 (2002) 243] and find other new and more general solutions at the same time, which include polynomial solutions, exponential solutions, rational solutions, triangular periodic wave solutions, hyperbolic, and soliton solutions, Jacobi, and Weierstrass doubly periodic wave solutions. (c) 2006 Published by Elsevier Inc.
关键词	symbolic computation (2+1)-dimensional dispersive long wave equation Weierstrass and Jacobi elliptic functions soliton solution periodic solution
DOI	10.1016/j.amc.2006.01.038
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000242276600024
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3682
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Qi
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 3.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China
推荐引用方式 GB/T 7714	Wang, Qi,Chen, Yong,Zhang, Hongqing. Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,181(1):247-255.
APA	Wang, Qi,Chen, Yong,&Zhang, Hongqing.(2006).Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation.APPLIED MATHEMATICS AND COMPUTATION,181(1),247-255.
MLA	Wang, Qi,et al."Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation".APPLIED MATHEMATICS AND COMPUTATION 181.1(2006):247-255.