Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity
Yu Ichida, Takashi Okuda Sakamoto · Proceedings of the Japan Academy Series A Mathematical Sciences · 2019
The quasi traveling waves with quenching of $u_{t} = u_{xx} + (1-u)^{-\alpha}$ for $\alpha \in 2 \mathbf{N}$ are considered. The existence of quasi traveling waves with quenching and their quenching rates are studied by applying the Poincaré compactification.