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	Finite-dimensional integrable systems related to the n-wave interaction equations
	Shi, QY
	2001
关键词	SYMMETRY CONSTRAINT SPECTRAL PROBLEM AKNS HIERARCHY BINARY NONLINEARIZATION PETVIASHVILI EQUATION HAMILTONIAN-STRUCTURE SOLITON-EQUATIONS RESTRICTED FLOWS COUPLED KDV POTENTIALS
英文摘要	Under a constraint between the potentials and the eigenfunctions, Lax pairs and adjoint Lax pairs of a soliton hierarchy associated with the nxn generalized Zakharov-Shabat eigenvalue problem are transformed into a spatial finite-dimensional Hamiltonian system and a hierarchy of temporal finite-dimensional Hamiltonian systems. The Lax representations, r-matrix structure and integrals of motion are explicitly presented. These integrals of motion are functionally independent and in involution in pairs, which shows that these systems, especially the whole hierarchy of temporal finite-dimensional Hamiltonian systems, are Liouville integrable. (C) 2001 American Institute of Physics.; Physics, Mathematical; SCI(E); 0; ARTICLE; 8; 3554-3564; 42
语种	英语
出处	SCI
出版者	数学物理杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157336]
专题	数学科学学院
推荐引用方式 GB/T 7714	Shi, QY. Finite-dimensional integrable systems related to the n-wave interaction equations. 2001-01-01.

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