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	On the Toda lattice equation with self-consistent sources
	Liu, XJ ; Zeng, YB
	2010-05-06 ; 2010-05-06
关键词	DARBOUX TRANSFORMATIONS KDV HIERARCHY KP EQUATION INTEGRATION POSITONS NEGATON WAVES Physics, Multidisciplinary Physics, Mathematical
中文摘要	The Toda lattice hierarchy with self-consistent sources and their Lax representation are derived. We construct a forward Darboux transformation (FDT) with arbitrary functions of time and a generalized for-ward Darboux transformation (GFDT) for Toda lattice with self-consistent sources (TLSCS), which can serve as a non-auto-Backlund transformation between TLSCS with different degrees of sources. With the help of such DT, we can construct many types of solutions to TLSCS, such as rational solution, solitons, positons, negetons, and soliton-positons, soliton-negatons, positon-negatons etc, and study properties and interactions of these solutions.
语种	英语 ; 英语
出版者	IOP PUBLISHING LTD ; BRISTOL ; DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13701]
专题	清华大学
推荐引用方式 GB/T 7714	Liu, XJ,Zeng, YB. On the Toda lattice equation with self-consistent sources[J],2010, 2010.
APA	Liu, XJ,&Zeng, YB.(2010).On the Toda lattice equation with self-consistent sources..
MLA	Liu, XJ,et al."On the Toda lattice equation with self-consistent sources".(2010).

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