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.
Proc. Japan Acad. Ser. A Math. Sci.
96(1):
1-6
(January 2020).
DOI: 10.3792/pjaa.96.001