Soliton-like solutions and periodic form solutions for two variable-co efficient evolution equations using symbolic computation

doi:10.1007/s00707-004-0156-4

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	Soliton-like solutions and periodic form solutions for two variable-co efficient evolution equations using symbolic computation
	Li, B ; Chen, Y ; Zhang, HQ
	2005
发表期刊	ACTA MECHANICA
ISSN	0001-5970
卷号	174 期号:1-2 页码:77-89
摘要	Some variable-coefficient generalizations of some nonlinear evolution equations (NLEES) bear more realistic physical importance. By means of a generalized Riccati equation expansion (GREE) method and a symbolic computation system - Maple - we investigate the variable-coefficient Fisher-type equation and the nearly concentric KdV equation. As a result. rich families of exact analytic solutions for these two equations. including the non-travelling wave's and coefficient functions' soliton-like solutions, singular soliton-like solutions. bind periodic form solutions, are obtained.
DOI	10.1007/s00707-004-0156-4
语种	英语
WOS研究方向	Mechanics
WOS类目	Mechanics
WOS记录号	WOS:000227072700006
出版者	SPRINGER WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1081
专题	中国科学院数学与系统科学研究院
通讯作者	Li, B
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 3.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 10080, Peoples R China
推荐引用方式 GB/T 7714	Li, B,Chen, Y,Zhang, HQ. Soliton-like solutions and periodic form solutions for two variable-co efficient evolution equations using symbolic computation[J]. ACTA MECHANICA,2005,174(1-2):77-89.
APA	Li, B,Chen, Y,&Zhang, HQ.(2005).Soliton-like solutions and periodic form solutions for two variable-co efficient evolution equations using symbolic computation.ACTA MECHANICA,174(1-2),77-89.
MLA	Li, B,et al."Soliton-like solutions and periodic form solutions for two variable-co efficient evolution equations using symbolic computation".ACTA MECHANICA 174.1-2(2005):77-89.