Computer algebra and solutions to the Karamoto-Sivashinsky equation

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	Computer algebra and solutions to the Karamoto-Sivashinsky equation
	Xie, FD ; Yuan, ZT
	2005-01-15
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	43 期号:1 页码:39-44
摘要	The method of Riccati equation is extended for constructing travelling wave solutions of nonlinear partial differential equations. It is applied to solve the Karamoto-Sivashinsky equation and then its more new explicit solutions have been obtained. From the results given in this paper, one can see the computer algebra plays an important role in this procedure.
关键词	Karamoto-Sivashinsky equation computer algebra exact solution
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000226568300008
出版者	INT ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1334
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.Lanzhou Univ Technol, Dept Comp Sci, Lanzhou 730050, Peoples R China 2.Chinese Acad Sci, Key Lab Math & Mech, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, FD,Yuan, ZT. Computer algebra and solutions to the Karamoto-Sivashinsky equation[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2005,43(1):39-44.
APA	Xie, FD,&Yuan, ZT.(2005).Computer algebra and solutions to the Karamoto-Sivashinsky equation.COMMUNICATIONS IN THEORETICAL PHYSICS,43(1),39-44.
MLA	Xie, FD,et al."Computer algebra and solutions to the Karamoto-Sivashinsky equation".COMMUNICATIONS IN THEORETICAL PHYSICS 43.1(2005):39-44.