Reduction operators of variable coefficient semilinear diffusion equations with a power source

O. O. Vaneeva; R. O. Popovych; C. Sophocleous

paper

Reduction operators of variable coefficient semilinear diffusion equations with a power source

arXiv:0904.3424

Abstract

Reduction operators (called often nonclassical symmetries) of variable coefficient semilinear reaction-diffusion equations with power nonlinearity $f (x) u_{t} = (g (x) u_{x})_{x} + h (x) u^{m}$ ( $m \neq = 0, 1, 2$ ) are investigated using the algorithm suggested in [O.O. Vaneeva, R.O. Popovych and C. Sophocleous, Acta Appl. Math., 2009, V.106, 1-46; arXiv:0708.3457].

19 pages, contribution to the Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (26 - 30 October 2008, Protaras, Cyprus)