Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity

Abstract

: The quasi traveling waves with quenching of u t ¼ u xx þ ð 1 (cid:3) u Þ (cid:3) (cid:2) for (cid:2) 2 2 N are considered. The existence of quasi traveling waves with quenching and their quenching rates are studied by applying the Poincare´ compactification.