一个(2+1)维簇的可积耦合及其哈密顿结构

摘要

A loop algebra is constructed,whose subalgebra is used to present a Lax pair. By making use of the Tu scheme,a (2+1)-dimensional hierarchy is generated. Furthermore, the application of its integrable coupling is worked out which is Liouville intergrable. The method this paper mentioned can be widely used to other soliton hierarchies.%构造了一个loop代数,利用屠格式生成了一个(2+1)维簇,其可积耦合是Liouville可积的,可用来研究其它的孤立子簇.