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	On the Ablowitz-Ladik equations with self-consistent sources
	Xiaojun Liu ; Yunbo Zeng
	2010-10-12 ; 2010-10-12
关键词	Theoretical or Mathematical/ Korteweg-de Vries equation nonlinear equations Schrodinger equation solitons/ Ablowitz-Ladik equations self-consistent sources ALESCS discrete nonlinear Schrodinger equation D-NLSSCS discrete mKdV equation D-mKdVSCS solitons positons negatons Darboux transformation nonauto-Backlund transformation/ A0340K Waves and wave propagation: general mathematical aspects A0230 Function theory, analysis
中文摘要	Darboux transformations and explicit solutions to Ablowitz-Ladik (AL) equations with self-consistent sources (ALESCS) are studied. Based on the Darboux transformation (DT) for the AL problem, we construct three types of non-auto-Backlund transformations connected with AL systems with different numbers of sources. The degenerate cases of DT and their applications to the reduced systems of ALESCS, for instance, discrete nonlinear Schrodinger with self-consistent sources (D-NLSSCS) and discrete mKdV equation with self-consistent sources (D-mKdVSCS), are discussed. Many types of solutions of ALESCS, D-NLSSCS and D-mKdVSCS, including solitons, positons, negatons can be derived from DTs and their degenerate cases.
语种	英语
出版者	IOP Publishing Ltd. ; UK
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81197]
专题	清华大学
推荐引用方式 GB/T 7714	Xiaojun Liu,Yunbo Zeng. On the Ablowitz-Ladik equations with self-consistent sources[J],2010, 2010.
APA	Xiaojun Liu,&Yunbo Zeng.(2010).On the Ablowitz-Ladik equations with self-consistent sources..
MLA	Xiaojun Liu,et al."On the Ablowitz-Ladik equations with self-consistent sources".(2010).

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