SOME EXACT-SOLUTIONS OF A MODEL NONLINEAR REACTION-DIFFUSION EQUATION

New exact solutions are obtained for time independent nonlinear reacti on-diffusion equations with source term which decreases spatially and increases with temperature arising as a simplified model of microwave heating. These solutions are derived for infinite slab, infinite cylin der and sphere through a simple mathematical procedure. In an attempt to illustrate some properties of these solutions we prescribe physical ly relevant thermal conditions. These solutions accordingly admit uniq ue nonvanishing real solutions and multiple solutions.