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	A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources
	Xiao, T ; Zeng, YB
	2010-05-06 ; 2010-05-06
关键词	Lax representation constrained mKP hierarchy mKP equation with self-consistent sources (mKPESCS) Darboux transformation (DT) rational solution soliton solutions solution of breather type KADOMTSEV-PETVIASHVILI EQUATION NONLINEAR INTEGRABLE SYSTEMS INVERSE SCATTERING METHOD KP HIERARCHY KDV HIERARCHY WAVES Physics, Multidisciplinary
中文摘要	The mKP equation with self-consistent sources (mKPESCS) is treated in the framework of the constrained mKP hierarchy. We introduce a new constrained mKP hierarchy which may be viewed as the stationary hierarchy of the mKP hierarchy with self-consistent sources. This offers a natural way to obtain the Lax representation for the mKPESCS. Based on the conjugate Lax pairs, we construct the generalized Darboux transformation with arbitrary functions in time t for the mKPESCS which, in contrast with the Darboux transformation for the mKP equation, provides a nonauto-Backlund transformation between two mKPESCSs with different degrees. The formula for n-times repeated generalized Darboux transformation is proposed and enables us to find the rational solutions (including the lump solutions), soliton solutions and the solutions of breather type of the mKPESCS. (c) 2005 Elsevier B.V. All rights reserved.
语种	英语 ; 英语
出版者	ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14120]
专题	清华大学
推荐引用方式 GB/T 7714	Xiao, T,Zeng, YB. A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources[J],2010, 2010.
APA	Xiao, T,&Zeng, YB.(2010).A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources..
MLA	Xiao, T,et al."A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources".(2010).

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