New exact travelling wave solutions for the shallow long wave approximate equations

doi:10.1016/j.amc.2003.08.053

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	New exact travelling wave solutions for the shallow long wave approximate equations
	Wang, Q ; Chen, Y ; Li, B ; Zhang, HQ
	2005-01-05
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	160 期号:1 页码:77-88
摘要	Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the shallow long wave approximate equations. New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave Solutions are shown by some figures. (C) 2003 Elsevier Inc. All rights reserved.
关键词	projective Riccati equation method shallow long wave approximate equation exact solutions
DOI	10.1016/j.amc.2003.08.053
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000225269700007
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/1229
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Y
作者单位	1.Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Q,Chen, Y,Li, B,et al. New exact travelling wave solutions for the shallow long wave approximate equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,160(1):77-88.
APA	Wang, Q,Chen, Y,Li, B,&Zhang, HQ.(2005).New exact travelling wave solutions for the shallow long wave approximate equations.APPLIED MATHEMATICS AND COMPUTATION,160(1),77-88.
MLA	Wang, Q,et al."New exact travelling wave solutions for the shallow long wave approximate equations".APPLIED MATHEMATICS AND COMPUTATION 160.1(2005):77-88.