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

作　　者：LUO Lin FAN EnGui 

机构地区：[1]Department of Mathematics,Shanghai Second Polytechnic University,Shanghai 201209,China [2]School of Mathematical Sciences,Fudan University,Shanghai 200433,China [3]Department of Mathematics,Xiaogan University,Xiaogan 432100,China

出　　处：《Science China Mathematics》2009年第1期147-159,共13页中国科学：数学（英文版）

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)

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.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.

关 键 词：discrete zero curvature equation integrable couplings τ-symmetry algebra 35Q51 

分 类 号：O175[理学—数学]