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| NEW SYMPLECTIC MAPS: INTEGRABILITY AND LAX REPRESENTATION |
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Citation： |
Zeng Yunbo,Li Yishen.NEW SYMPLECTIC MAPS: INTEGRABILITY AND LAX REPRESENTATION[J].Chinese Annals of Mathematics B,1997,18(4):457~466 |
| Page view： 1093
Net amount： 761 |
Authors： |
Zeng Yunbo; Li Yishen |
Foundation： |
the National Basic Reaserch Project ``Nonlinear Science" |
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| Abstract： |
New family of integrable symplectic maps are reduced
from the Toda hierarchy via constraint for a higher flow of the hierarchy in terms of square eigenfunctions. Their integrability and Lax representation are deduced systematically from the discrete zero-curvature representation of the Toda hierarchy. Also a discrete zero-curvature representation for the Toda hierarchy with sources is presented. |
Keywords： |
Integrable symplectic map, Discrete zero-curvature
representation, Lax representation, Higher-order constraint |
Classification： |
58F05, 58F07 |
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