1302.4915 (Olena Vaneeva et al.)

Group classification of variable coefficient quasilinear
reaction-diffusion equations    [PDF]

Olena Vaneeva, Alexander Zhalij

The group classification of variable coefficient quasilinear reaction-diffusion equations $u_t=u_{xx}+h(x)B(u)$ is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of admissible point transformation within the class.

View original: http://arxiv.org/abs/1302.4915