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

	Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation
	Wang, Qi ; Chen, Yong ; Zhang, Hongqing
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2006-10-01
卷号	181 期号:1 页码:247-255
关键词	symbolic computation (2+1)-dimensional dispersive long wave equation Weierstrass and Jacobi elliptic functions soliton solution periodic solution
ISSN号	0096-3003
DOI	10.1016/j.amc.2006.01.038
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000242276600024
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3681]
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.