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New travelling wave solutions for the Fisher-KPP equation with general exponents (1910.01514v1)
Published 2 Oct 2019 in math.AP, math.DS, nlin.PS, physics.bio-ph, and physics.chem-ph
Abstract: The Fisher-KPP equation with general nonlinear diffusion and arbitrary kinetic orders in the reaction terms is considered. The existence of oscillatory travelling wave solutions is proved for this model. Conditions for the existence of such solutions are provided.