On the stability of some exact solutions to the generalized convection-reaction-diffusion equation
Vsevolod Vladimirov, Czeslaw Maczka
TL;DR
This paper investigates the stability of specific traveling wave solutions to a hyperbolic generalization of the convection-reaction-diffusion equation using qualitative analysis and numerical simulations.
Contribution
It provides a stability analysis of exact solutions to a hyperbolic convection-reaction-diffusion equation, combining theoretical and numerical approaches.
Findings
Identified conditions for stability of traveling wave solutions.
Demonstrated stability or instability through numerical simulations.
Enhanced understanding of wave behavior in hyperbolic convection-reaction-diffusion systems.
Abstract
Stability of a set of travelling wave solutions to the hyperbolic generalization of the convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.
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