MULTIPLE HAMILTONIAN STRUCTURES FOR TODA-TYPE SYSTEMS

被引:46
作者
DAMIANOU, PA
机构
[1] Department of Mathematics and Statistics, University of Cyprus, Nicosia
关键词
D O I
10.1063/1.530763
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Results on the finite nonperiodic Toda lattice are extended to some generalizations of the system: The relativistic Toda lattice, the generalized Toda lattice associated with simple Lie groups and the full Kostant-Toda lattice. The areas investigated include master symmetries, recursion operators, higher Poisson brackets, invariants, and group symmetries for the systems. A survey of previous work on the classical Toda lattice is also included.
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页码:5511 / 5541
页数:31
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