一个新的发展方程族及可积系  

A Hierarchy of Evolution Equations andits Integrable System

作　　者：陈美霞 袁书娟[2] 刘炜[3] 

机构地区：[1]济宁实验中学,山东济宁272100 [2]河北理工大学轻工学院,河北唐山063000 [3]石家庄铁道学院数理系,河北石家庄050043

出　　处：《石家庄铁道学院学报（自然科学版）》2009年第2期81-83,共3页Journal of Shijiazhuang Railway Institute

摘　　要：利用Lax对非线性化方法,讨论二阶矩阵特征值问题。利用位势函数与特征函数之间的Bargmann约束,将二阶矩阵特征值问题非线性化,获得一个新的有限维Ham ilton系统和发展方程族解的对合表示。The second-order matrix eigenvalue problem is discussed by means of the nonlinearization of the Lax pairs, then based on the Bargmann constraint between the potential and the eigenfunctions, a new finite - dimensional Hamilton system is abtained by nonlinearization of the eigenvalue problem and the involutive solutions of the evolution equations are abtained.

关 键 词：特征值问题 可积系统 对合表示 

分 类 号：O175.9[理学—数学]