Symbolic computation in non-linear evolution equation: application to (3+1)-dimensional Kadomtsev-Petviashvili equation

doi:10.1016/j.chaos.2004.09.019

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	Symbolic computation in non-linear evolution equation: application to (3+1)-dimensional Kadomtsev-Petviashvili equation
	Xie, FD ; Zhang, Y ; Lu, ZS
	2005-04-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	24 期号:1 页码:257-263
摘要	The tanh method is used to find travelling wave solutions to various wave equations. In this paper, the extended tanh function method is further improved by generalizing the Riccati equation and picking up its new solutions. In order to test the validity of this approach, the (3 + 1)-dimensional Kadomtsev-Petviashvili equation is considered. As a result the abundant new non-travelling wave solutions are obtained. (C) 2004 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2004.09.019
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000226337900030
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1779
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, FD
作者单位	1.Liaoning Normal Univ, Inst Comp & Informat Technol, Dept Comp Sci, Dalian 116029, Liaoning, Peoples R China 2.Chinese Acad Sci, AMSS, ISS, Key Lab Math & Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, FD,Zhang, Y,Lu, ZS. Symbolic computation in non-linear evolution equation: application to (3+1)-dimensional Kadomtsev-Petviashvili equation[J]. CHAOS SOLITONS & FRACTALS,2005,24(1):257-263.
APA	Xie, FD,Zhang, Y,&Lu, ZS.(2005).Symbolic computation in non-linear evolution equation: application to (3+1)-dimensional Kadomtsev-Petviashvili equation.CHAOS SOLITONS & FRACTALS,24(1),257-263.
MLA	Xie, FD,et al."Symbolic computation in non-linear evolution equation: application to (3+1)-dimensional Kadomtsev-Petviashvili equation".CHAOS SOLITONS & FRACTALS 24.1(2005):257-263.