Lie symmetries and invariants for a 2D nonlinear heat equation
R Cimpoiasu, R Constantinescu - Nonlinear Analysis: Theory, Methods & …, 2008 - Elsevier
The paper generalizes previous results on the 2D Ricci flow equation in a conformal gauge.
It investigates a general form of the 2D nonlinear heat equation and it points out all possible
cases where Lie type symmetries, associated invariant quantities and similarity solutions
can appear. The connection with the already known results for the 1D problem is obtained.
It investigates a general form of the 2D nonlinear heat equation and it points out all possible
cases where Lie type symmetries, associated invariant quantities and similarity solutions
can appear. The connection with the already known results for the 1D problem is obtained.
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