Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order

	Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order
	Li, B ; Chen, Y ; Zhang, HQ
刊名	CZECHOSLOVAK JOURNAL OF PHYSICS
	2004-02-01
卷号	54 期号:2 页码:167-176
关键词	Backlund transformation homogenous balance method generalized Fithugh-Nagumo equation generalized Burgers-Fisher equation generalized Burgers-Huxley equation solitons symbolic computation
ISSN号	0011-4626
英文摘要	In this paper, by introducing some proper transformations, the applied range of the homogenous balance (HB) method is extended. With the help of Mathematica, we obtain three auto-Backlund transformations (BT) for the generalized Fithugh-Nagumo equation, the generalized Burgers-Fisher equation, the generalized Burgers-Huxley equation, respectively, by use of the extended HB method. From these BTs, some exact solutions for these equations are derived.
WOS研究方向	Physics
语种	英语
出版者	INST PHYSICS ACAD SCI CZECH REPUBLIC
WOS记录号	WOS:000220830700002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/953]
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.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, B,Chen, Y,Zhang, HQ. Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order[J]. CZECHOSLOVAK JOURNAL OF PHYSICS,2004,54(2):167-176.
APA	Li, B,Chen, Y,&Zhang, HQ.(2004).Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order.CZECHOSLOVAK JOURNAL OF PHYSICS,54(2),167-176.
MLA	Li, B,et al."Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order".CZECHOSLOVAK JOURNAL OF PHYSICS 54.2(2004):167-176.