Nonlinear hydrodynamic corrections to supersonic F-KPP wave fronts

► An exothermic chemical wave front of F-KPP type in a dilute gas. ► The existence of a nonlinear hydrodynamic front speed correction. ► Its variational characterization and an approximate formula using a singular perturbation technique. ► Front dynamics, cut-off sensitivity and the profile controlled by this correction. ► The strong dependence of this effect on the viscosity and heat conductivity of the fluid.