一个经典的可积Neumann系统和Boussinesq族Lax对的非线性化  

A Classical Integrable Neumann System and the Nonlinearization of the Lax Pair for Classical Boussinesq Hierarchy

作　　者：许太喜 牟卫华[1] 查中伟[1] 

机构地区：[1]石家庄铁道学院,葛洲坝水电工程学院,050043,443002

出　　处：《应用数学》1994年第3期264-268,共5页Mathematica Applicata

摘　　要：本文在位势与特征函数之间的Neumann约束条件下,经典Boussinesq族的Lax对被非线性化成为自然相容的Lax系统;而且,其为Liouville完全可积的Hamiltonian系统,同时获得了Boussinesq方程解的对合表示。Under the C. Neumann constraint condition between the potentials and the eigenfunctions,the Lax pair for classical Boussinesq hierarchy is nonlinearized to be a naturally consistent Lax system. Furthermore,which are completely integrable Hamiltonian systems in Liouville sense. The in-volutive representation of solutions of classical Boussinesq equation is obtained.

关 键 词：诺伊曼系统 布氏族 LAX对 非线性化 

分 类 号：O175.2[理学—数学]