与一个多项式特征值问题相联系的完全可积系统  

An Intergrable Hamiltenian System Relate to the Polynomial Eigenvalue Problem

作　　者：牟卫华 李忠定 

出　　处：《石家庄铁道学院学报》1996年第3期63-68,共6页Journal of Shijiazhuang Railway Institute

摘　　要：在位势函数和特征函数的约束下，二阶特征值问题被非线性化为一个Liouville意义下的完全可积系统，该特征值问题的Lax对的时间部分的非线性化给出了其对合系统。Under the constraint between the potentials and the eigenfunctions, the secondorder polynomial eigenvalue problem is nonlinearized to the completely integrable system in the Liouville sense. The nonlinearization of the time part of the Lax pair associated with the above problem lends to its involutive system.

关 键 词：约束 位势函数 特征函数 完全可积系统 特征值 

分 类 号：O175.9[理学—数学]