Multi-component Dirac equation hierarchy and its multi-component integrable couplings system  

作　　者：夏铁成 尤福财 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200444, China [2]Department of Mathematics, Tianjin University, Tianjin 300072, China

出　　处：《Chinese Physics B》2007年第3期605-610,共6页中国物理B（英文版）

摘　　要：A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M- dimensional loop algebra ~X is produced. By taking advantage of ~X a new isospectral problem is established and then by making use of the Tu scheme the multi-component Dirac equation hierarchy is obtained. Finally, an expanding loop algebra ~FM of the loop algebra ~X is presented. Based on the ~FM, the multi-component integrable coupling system of the multi-component Dirac equation hierarchy is investigated. The method in this paper can be applied to other nonlinear evolution equation hierarchies.A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M- dimensional loop algebra ~X is produced. By taking advantage of ~X a new isospectral problem is established and then by making use of the Tu scheme the multi-component Dirac equation hierarchy is obtained. Finally, an expanding loop algebra ~FM of the loop algebra ~X is presented. Based on the ~FM, the multi-component integrable coupling system of the multi-component Dirac equation hierarchy is investigated. The method in this paper can be applied to other nonlinear evolution equation hierarchies.

关 键 词：loop algebra zero curvature equation multi-component Dirac equation hierarchy multi-component integrable couplings system 

分 类 号：O316[理学—一般力学与力学基础]