The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles

doi:10.1016/j.physleta.2005.07.052

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	The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles
	Yan, ZY
	2005-10-03
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	345 期号:4-6 页码:362-377
摘要	The (2+1)-dimensional integrable coupling of the KdV equation, which was first presented by Ma and Fussteiner from the celebrated KdV equation using the perturbation method of multiple scales u = u(1) + epsilon u(2 ,) y= is an element of x, is investigated. With the aid of symbolic computation, a new auto-Backlund transformation is gained and used to seek, new types of non-traveling wave solutions involving an arbitrary function of y. Moreover a non-traveling wave similarity variable transformation reduces this system to a system of non-linear ordinary differential equations with constant coefficient, which is solved to get non-traveling wave Jacobi elliptic function solutions and Weierstrass elliptic function solutions involving an arbitrary smooth function of y. When the arbitrary function are taken as some special functions, these obtained solutions possess abundant structures. The figures corresponding to these solutions are illustrated to show the rules of the wave propagation related to (2 + 1)-dimensional integrable coupling of the KdV equation. (c) 2005 Published by Elsevier B.V.
关键词	integrable coupling Backlund transformatiom Painleve analysis non-traveling wave solution symbolic computation
DOI	10.1016/j.physleta.2005.07.052
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000232070500016
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1144
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	1.CCAST, World Lab, Beijing 100080, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles[J]. PHYSICS LETTERS A,2005,345(4-6):362-377.
APA	Yan, ZY.(2005).The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles.PHYSICS LETTERS A,345(4-6),362-377.
MLA	Yan, ZY."The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles".PHYSICS LETTERS A 345.4-6(2005):362-377.