摘要
首先构造了一个loop代数,根据(2+1)维零曲率方程计算得到(2+1)维KdV族的可积耦合,然后通过二次型恒等式得到它的哈密顿结构.展示的方法新颖简便,可以用于其它许多方程族.
A loop algebra is constructed, whose subalgebra can be used to present a lax pair. Using the (2 + 1 ) -dimensional zero curvature equation, integrable coupling of the ( 2 + 1 ) -dimensional hierarchy is generated. Further more, the Hamilton ian structure of its integrable couplings is worked out by using of the quadratic-form identity, which is of Liouville intergrable. The method mentioned can be widely used to other soliton hierarchies.
出处
《曲阜师范大学学报(自然科学版)》
CAS
2009年第1期29-32,共4页
Journal of Qufu Normal University(Natural Science)
基金
山东省教育厅基金资助项目(J07YH01)
关键词
(2+1)维零曲率方程
二次型恒等式
可积耦合
哈密顿结构
(2 + 1 ) -dimensional zero curvature equation
quadratic-form identity
integrable coupling
Hamil- tonian structure.