The algebraic structure of discrete zero curvature equations associated with integrable couplings and application to enlarged Volterra systems

作     者：LUO Lin FAN EnGui 

作者机构：Department of MathematicsShanghai Second Polytechnic UniversityShanghai 201209China School of Mathematical SciencesFudan UniversityShanghai 200433China Department of MathematicsXiaogan UniversityXiaogan 432100China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2009年第52卷第1期

页      面：147-159页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Key Basic Research Project of China (Grant No. 2004CB318000) the Research Foundation of Hubei Provincial Department of Education (Grant No. D20082602) 

主　　题：discrete zero curvature equation integrable couplings τ-symmetry algebra 35Q51 

摘      要：An algebraic structure of discrete zero curvature equations is established for integrable coupling systems associated with semi-direct sums of Lie algebras. As an application example of this algebraic structure, a τ-symmetry algebra for the Volterra lattice integrable couplings is engendered from this theory.