基于Hamilton体系的分离变量法

Variable Separation Method Based on Hamilton System

利用Hamilton体系下的分离变量法 ,对可用传统分离变量法分离变量的一类偏微分方程进行了求解 ,得到了完全相同的结果 ,从而说明了Hamilton体系下分离变量法的正确性和潜在能力 ,为Hamilton体系下分离变量法的广泛应用打下了基础 .

A group of partial differential equations are solved by use of the variable separation method in the Hamilton system,and the results are identical with those solved by use of classical methods of separation of variables.It is shown that the variable separation method in the Hamilton system is correct and is of great potential, providing a solid foundation for wide application of the method of variable separation in the Hamilton system.