Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations

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	Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations
	Li, B ; Chen, Y ; Zhang, HQ
	2003-07-01
发表期刊	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN	0932-0784
卷号	58 期号:7-8 页码:464-472
摘要	In this paper, based on the idea of the homogeneous balance method and with the help of Mathematica, we obtain a new auto-Backlund transformation for the generalized two-dimensional Kortewegde Vries-Burgers-type equation and a new auto-Backlund transformation for the generalized two-dimensional Burgers-type equation by introducing two appropriate transformations. Then, based on these two auto-Backlund transformation, some exact solutions for these equations are derived. Some figures are given to show the properties of the solutions.
关键词	auto-Backlund transformation homogeneous balance method two-dimensional Korteweg-de Vries-Burgers-type equation two-dimensional Burgers-type equation solitary-wave solution Mathematica
语种	英语
WOS研究方向	Chemistry ; Physics
WOS类目	Chemistry, Physical ; Physics, Multidisciplinary
WOS记录号	WOS:000185023400013
出版者	VERLAG Z NATURFORSCH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18936
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 the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2003,58(7-8):464-472.
APA	Li, B,Chen, Y,&Zhang, HQ.(2003).Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,58(7-8),464-472.
MLA	Li, B,et al."Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 58.7-8(2003):464-472.