A note on the FKPP equation approached with the hyperbolic scaling
M. A. Reyes, H. C. Rosu
TL;DR
This paper investigates the hyperbolic scaling of the FKPP equation, introducing new solutions of the action functional type and relating them to the Ablowitz-Zepetella kink, providing insights into their mathematical structure.
Contribution
It presents novel solutions of the action functional type for the hyperbolic FKPP equation and links them to the Ablowitz-Zepetella kink, expanding understanding of these mathematical objects.
Findings
Introduction of two new action functional solutions in the hyperbolic FKPP context
Identification of the Ablowitz-Zepetella kink as a special case of these solutions
Insights into the structure of solutions under hyperbolic scaling
Abstract
We consider the hyperbolic scaling of the FKPP equation and introduce two solutions of the action functional type in the limit of zero hyperbolic parameter. Furthermore, we show that the action functional of the Ablowitz-Zepetella kink is a special case of one of those solutions
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Black Holes and Theoretical Physics