New travelling wave solutions for the Fisher-KPP equation with general exponents
Ariel S\'anchez-Vald\'es, Benito Hern\'andez-Bermejo
TL;DR
This paper investigates the Fisher-KPP equation with generalized nonlinear diffusion and reaction terms, establishing the existence of oscillatory travelling wave solutions under specific conditions.
Contribution
It introduces new conditions for the existence of oscillatory travelling waves in a generalized Fisher-KPP model with arbitrary exponents.
Findings
Existence of oscillatory travelling wave solutions proven.
Conditions for solution existence explicitly provided.
Generalization to nonlinear diffusion and reaction terms achieved.
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.
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