For the generalized Burgers-Fisher-KPP equation, Heaviside-type initial data converge to traveling waves at critical velocities, with a convection coefficient threshold k* separating vanishing and spreading regimes.
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Large time behavior and transition from vanishing to spreading regimes for the generalized Burgers-Fisher-KPP equation
For the generalized Burgers-Fisher-KPP equation, Heaviside-type initial data converge to traveling waves at critical velocities, with a convection coefficient threshold k* separating vanishing and spreading regimes.