Infinite Conservation Laws for Nonlinear Integrable Couplings of Toda Hierarchy

被引：0
|
作者：
Yu Fa-Jun [1 ]
机构：
[1] Shenyang Normal Univ, Sch Math & Systemat Sci, Shenyang 110034, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2012年 / 29卷 / 09期
基金：
中国博士后科学基金;
关键词：
LIE-ALGEBRAS; SOLITON-EQUATIONS; SEMIDIRECT SUMS; TRANSFORMATION; SYSTEMS;
D O I：
10.1088/0256-307X/29/9/090201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct nonlinear integrable couplings of discrete soliton hierarchy, then the infinite conservation laws for the nonlinear integrable couplings of the lattice hierarchy are established. For explicit application of the method proposed, the infinite conservation laws of nonlinear integrable couplings of the Toda lattice hierarchy are presented. The obtained integrable couplings of the Toda lattice equations and conservation laws can be used to describe the possible formation mechanisms for hydrodynamics, solid state physics and plasma physics, respectively.
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页数：4
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