Title: Heteroclinic traveling fronts for a generalized Fisher-Burgers equation with saturating diffusion,
Abstract: We study the existence of monotone heteroclinic traveling waves for a general
Fisher-Burgers equation with nonlinear and possibly density-dependent
diffusion. Such a model arises, for instance, in physical phenomena where a
saturation effect appears for large values of the gradient. We give an estimate
for the critical speed (namely, the first speed for which a monotone
heteroclinic traveling wave exists) for some different shapes of the reaction
term, and we analyze its dependence on a small real parameter when this brakes
the diffusion, complementing our study with some numerical simulations.