| 偏微分方程组的一种化简方法 |
| |
| 引用本文： | 刘胜,管克英.偏微分方程组的一种化简方法[J].北京航空航天大学学报,1999,25(1):100-103. |
| |
| 作者姓名： | 刘胜 管克英 |
| |
| 作者单位： | 北京航空航天大学,应用数理系 |
| |
| 摘 要： | 以李群为工具，给出了一种化简两个自变量，两个未知函数的一阶偏微分方程组的方法，在一定条件下，可将偏微分方程组化简为一个阶偏微分方程，若能求出此一阶偏微分方程的解，则只需再解一个一阶常微分方程，即可得出原偏微分方程线的解，该方法可用于某些一阶偏微分方程组的求解，其中包括非定常完全气体一维均熵方程和波动方程。
|
| 关 键 词： | 李群 偏微分方程 可解性 |
Way of Simplifying Partial Differential Equation Systems |
| |
| Liu Sheng,Guan Keying.Way of Simplifying Partial Differential Equation Systems[J].Journal of Beijing University of Aeronautics and Astronautics,1999,25(1):100-103. |
| |
| Authors: | Liu Sheng Guan Keying |
| |
| Abstract: | By using Lie group method, a way of simplifying some first order partial differential equation systems which have two independent variables and two unknow functions is presented. Under some conditions, the partial differential equation system can be simplified to a first order partial differential equation. If the partial differential equation can be solved, then the solution of the original partial differential equation system can be obtained by solving a first order ordinary differential equation. The presented way can be used to solve some first order partial differential equation systems, including the equation of one dimentional nonsteady isentropy completed gas and the wave equation. |
| |
| Keywords: | Lie groups partial differential equations solvability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
