Mathematics – Differential Geometry
Scientific paper
2009-08-26
Mathematics
Differential Geometry
12 pages
Scientific paper
10.1393/ncb/i2010-10940-1
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.
Bakhshandeh-Chamazkoti Rouholah
Nadjafikhah Mehdi
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