常型Hamilton系统循环算子的一般化  

The Generalization of the Recursion Operators of the Partial Differential Equation with Constant Coefficient in the Hamiltonian System

作　　者：李静[1] 任文秀[1] 杜鹃[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2017年第2期105-111,共7页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：内蒙古自然科学基金项目(2014MS0115)

摘　　要：本文以常系数偏微分方程为研究对象,考虑将一个确定其循环算子的方法应用到相应的Hamilton体系中,通过求解相关确定方程组,获得了循环算子的一般新形式,且将这种关系表达为另一种等价的形式.此外,通过二维及高维算例验证了此结论的可行性.This paper takes the partial differential equation with constant coefficients as the re- search object, considering applying a determine method of recursion operator to the corresponding Hamilton system. By solving the relevant determine equations, the general new form of the recursion operators is obtained, and the relationship is expressed as another equivalent form. In addition, the fea- sibility of this conclusion is verified by two dimensional and high dimensional examples.

关 键 词：常系数偏微分方程 无穷维Hamilton正则系统 循环算子 线性微分算子 

分 类 号：O175[理学—数学]