Factorization and Poisson correspondences

被引:12
作者
Fordy, AP [1 ]
Shabat, AB [1 ]
Veselov, AP [1 ]
机构
[1] UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND
关键词
D O I
10.1007/BF02070933
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Darboux transformation as an example of an integrable infinite-dimensional Poisson correspondence is discussed in the contest of the general factorization problem. Generalizations related to energy-dependent Schrodinger operators and to Kac-Moody algebras are considered. We also present the finite-dimensional reductions of the Darboux transformation to stationary flows.
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页码:1369 / 1386
页数:18
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