The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation

Details The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation

2007-03-29

arxiv.org/abs/nlin/0703064v1

Phys. Rev. E 76 (2007) 051101

Nonlinear Sciences

Pattern Formation and Solitons

7 pages

Scientific paper

10.1103/PhysRevE.76.051101

We give an explicit formula for the change of speed of pushed and bistable
fronts of the reaction diffusion equation when a small cutoff is applied at the
unstable or metastable equilibrium point. The results are valid for arbitrary
reaction terms and include the case of density dependent diffusion.

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