A Simple Method for Generating Discrete Multi-Component Integrable Hierarchy  

作　　者：姚玉芹 曾云波 

机构地区：[1]Department of Applied Mathematics, China Agricultural University, Beijing 100083 [2]Department of Mathematical Science, Tsinghua University, Beijing 100084

出　　处：《Chinese Physics Letters》2010年第11期1-4,共4页中国物理快报（英文版）

基　　金：Supported by the National Basic Research Program of China （2007CB814800）, the National Natural Science Foundation of China （10901090 and 10801083）, and Chinese Universities Scientific Fund （2009JS42 and 2009-2-05）.

摘　　要：For M×N spectral matrix, a kind of operation ？ which satisfies combination law （a？b）？c=a？（b？c） is introduced. The discrete multi？component zero-curvature equation is deduced by using the new operation ？, and a simple method for constructing discrete multi-component integrable hierarchy is proposed. As its application, the multi-component Toda hierarchy and its two kinds of integrable couplings are worked out.For M×N spectral matrix, a kind of operation ？ which satisfies combination law （a？b）？c=a？（b？c） is introduced. The discrete multi？component zero-curvature equation is deduced by using the new operation ？, and a simple method for constructing discrete multi-component integrable hierarchy is proposed. As its application, the multi-component Toda hierarchy and its two kinds of integrable couplings are worked out.

关 键 词：Mathematical physics Statistical physics and nonlinear systems 

分 类 号：O172.2[理学—数学] P631.443[理学—基础数学]