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arXiv · 0908.3760

Preliminarily group classification of a class of 2D nonlinear heat equations

Mehdi Nadjafikhah·Rouholah Bakhshandeh Chamazkoti
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Abstract

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.

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Mehdi Nadjafikhah, Rouholah Bakhshandeh Chamazkoti. 2009-08-26. Preliminarily group classification of a class of 2D nonlinear heat equations. https://doi.org/10.1393/ncb%2Fi2010-10940-1

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