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	The quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self-consistent sources
	Xiao, Ting ; Zeng, Yunbo
	2010-05-06 ; 2010-05-06
关键词	KORTEWEG-DEVRIES EQUATION DARBOUX TRANSFORMATIONS HAMILTONIAN STRUCTURES WAVES Physics, Mathematical
中文摘要	For the first time we show that the quasiclassical limit of the symmetry constraint of the Sato operator for the KP hierarchy leads to the generalized Zakharov reduction of the Sato function for the dispersionless KP(dKP) hierarchy which has been proved to be result of symmetry constraint of the dKP hierarchy recently. By either regarding the symmetry constrained dKP hierarchy as its stationary case or taking the dispersionless limit of the KP hierarchy with self-consistent sources directly, we construct a new integrable dispersionless hierarchy, i.e., the dKP hierarchy with self-consistent sources and find its associated conservation equations (or equations of Hamilton-Jacobi type). Some solutions of the dKP equation with self-consistent sources are also obtained by hodograph transformations.
语种	英语 ; 英语
出版者	NORBERT EULER ; LULEA ; LULEA UNIV TECHNOL, DEPT MATHEMATICS, SE-971 87 LULEA, SWEDEN
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14006]
专题	清华大学
推荐引用方式 GB/T 7714	Xiao, Ting,Zeng, Yunbo. The quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self-consistent sources[J],2010, 2010.
APA	Xiao, Ting,&Zeng, Yunbo.(2010).The quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self-consistent sources..
MLA	Xiao, Ting,et al."The quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self-consistent sources".(2010).

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