一大类孤子方程族的Hamilton结构

Hamiltonian Structures for a Large Class of Soliton Equations

对具有遗传强对称递推算子的孤子方程族附以简单的条件 ,构造出了它们的 Hamilton结构、多 Hamilton结构 ,并进一步讨论了 L iouville可积性 .

Hamiltonian and multi-Hamiltonian structures are constructed for a large class of soliton equation hierarchies which have strong and hereditary symmetries. Furthermore, their integrabilities in the Liouville sense are shown. Three examples are given.