一个有限维完全可积系统和MDWW方程解的对合表示

A Finite Dimentional Completely Integrable System and The Involutive Representation of Solutions of MDWW Equation

本文讨论高阶ＭＤＷＷ方程的Ｌａｘ对，在位势与特征函数之间的约束条件下，Ｌａｘ系统被非线性化成为有限维Ｌｉｏｕｖｉｌｌｅ完全可积系统．并且获得了高阶ＭＤＷＷ方程解的对合表示．

This paper deals with the Lax pair of higher order MDWW equation. Under the constraints between Potentials and eigenfunctions,the Lax systems are nonlinearized to be finite-dimensional Completely integrable systems in Liouville sense. The involutive reptesentation of solutions of higher order MDWW equation are obtained too.