INTEGRABLE MAPPINGS AND NONLINEAR INTEGRABLE LATTICE EQUATIONS

被引：122
|
作者：
PAPAGEORGIOU, VG
NIJHOFF, FW
CAPEL, HW
机构：
[1] CLARKSON UNIV, INST NONLINEAR STUDIES, POTSDAM, NY 13676 USA
[2] UNIV AMSTERDAM, INST THEORET FYS, 1018 XE AMSTERDAM, NETHERLANDS
来源：
PHYSICS LETTERS A | 1990年 / 147卷 / 2-3期
关键词：
D O I：
10.1016/0375-9601(90)90876-P
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Periodic initial value problems of time and space discretizations of integrable partial differential equations give rise to multi-dimensional integrable mappings. Using the associated linear spectral problems (Lax pairs), a systematic derivation is given of the corresponding sets of polynomial invariants. The level sets are algebraic varieties on which the trajectories of the corresponding dynamical systems lie. © 1990.
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页码：106 / 114
页数：9
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