Loop代数_2的一个子代数与一族新的可积双Hamilton结构

A Subalgebra of Loop Alegbra _2 and a New Integrable bi-Hamiltonian Structure

利用建立的Loop代数A2的一个子代数,设计了一个新的等谱问题;然后利用屠格式获得一族新的Liouville可积的双Hamilton结构.作为约化情形,得到了广义非线性Schrodinger方程.

A new isospectral problem is designed by using a subalgebra of loop algebra 2 established. Then a family of new Liouville integrable system is obtained by means of Tu scheme, which possesses a bi Hamiltonian structure.As reduction case, a generalized nonlinear Schrodinger equation is presented.