Tetyana BARANNYK
Poltava State Pedagogical University,
2 Ostrogradskoho Str.,
Poltava,
UKRAINE
E-mail: barannyk_t@poltava.velton.ua

Exact solutions of reaction-diffusion equation with exponential non-linearity

Abstract:
New exact solutions for the one- and two-dimensional nonlinear reaction-diffusion equations with exponential non-linearity are found by reduction to the radial equation and then applying an ansatz of a special form.