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	On different integrable systems sharing the same nondynamical r-matrix
	Qiao, ZJ ; Strampp, W
	1998
关键词	HEISENBERG SPIN CHAIN PARAMETRIC REPRESENTATION SOLITON HIERARCHIES EVOLUTION-EQUATIONS LAX EQUATIONS FLOWS
英文摘要	In a recent paper [Zhijun Qiao and Ruguang Zhou, Phys. Lett. A 235, 35 (1997)], the amazing fact was reported that a discrete and a continuous integrable system share the same r-matrix with the interesting property of being nondynamical. Now, we present three further pairs of different continuous integrable systems sharing the same r-matrix again being nondynamical. The first pair is the finite-dimensional constrained system (FDCS) of the famous AKNS hierarchy and the Dirac hierarchy; the second pair is the FDCS of the well-known geodesic flows on the ellipsoid and the Heisenberg spin chain hierarchy; and the third Flair is the FDCS of one hierarchy studied by Xianguo Geng [Phys. Lett. A 162,:375 (1992)] and another hierarchy proposed by Zhijun Qiao [Phys. Lett. A 192, 316 (1994)]. All those FDCSs possess Lax representations and from the viewpoint of r-matrix can be shown to be completely integrable in Liouville's sense. (C) 1998 American Institute of Physics.; Physics, Mathematical; SCI(E); 5; ARTICLE; 6; 3271-3279; 39
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/20.500.11897/216714]
专题	数学科学学院
推荐引用方式 GB/T 7714	Qiao, ZJ,Strampp, W. On different integrable systems sharing the same nondynamical r-matrix. 1998-01-01.

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