一类二维非线性heat equations的群分类
Preliminarily group classification of a class of 2D nonlinear heat equations
摘要：
利用Lie方法对二维非线性热方程组$u_t=f(x,y,u,u_x,u_y)(u_{xx}+u_{yy})$进行了初步的分组分类，其中$f$是变量$x,y,u,u_x$和$u_y$的任意光滑函数.本文是为数不多的应用程序的代数方法的问题组分类：方法的初步组分类。
英文摘要：
A preliminary group classification of the class 2D nonlinear heat equations $u_t=f(x,y,u,u_x,u_y)(u_{xx}+u_{yy})$, where $f$ is arbitrary smooth function of the variables $x,y,u,u_x$ and $u_y$ using Lie method, is given. The paper is one of the few applications of an algebraic approach to the problem of group classification: the method of preliminary group classification.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
