一族孤子方程及其Hamilton结构

A Hierarchy of Soliton Eguqtions and Its Hamiltonian Strucfures

建立了一个新的方程族 ,是Liouville可积的 ,具有了一Hamilton结构 ,循环算子的共轭算子是一个遗传对称。另外 。

A new hierarchy of equations is established.It is Liouville integrablle,possesses tri-Hamiltonian structures and the conjugate operator of the recursion operator is a hereditary symmetry.In addition,it can be reduced to the well-known AKNS hierarchy.