Symmetries of nonlinear hyperbolic systems of the Toda chain type

被引：0
|
作者：
V. V. Sokolov
S. Ya. Startsev
机构：
[1] Landau Institute for Theoretical Physics,Institute of Mathematics and Computing Center
[2] RAS,undefined
来源：
Theoretical and Mathematical Physics | 2008年 / 155卷
关键词：
Liouville equation; Toda chain; integral; higher symmetry; hyperbolic system of partial differential equations; Noether theorem;
D O I：
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学科分类号：
摘要：
We consider hyperbolic systems of equations that have full sets of integrals along both characteristics. The best known example of models of this type is given by two-dimensional open Toda chains. For systems that have integrals, we construct a differential operator that takes integrals into symmetries. For systems of the chosen type, this proves the existence of higher symmetries dependent on arbitrary functions.
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页码：802 / 811
页数：9
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