Lie symmetry analysis of the nonlinear generalized heat equation for varying cross-section geometry

Targyn A. Nauryz

We study the nonlinear generalized heat equation $C(u)u_t=\frac{1}{z^{\nu }}{\left(K(u)z^{\nu }{u}_z\right)}_z$, where $C(u)$ and $K(u)$ are temperature-dependent thermal coefficients and $\nu >0$…