On the stability of kink-like and soliton-like solutions to the generalized convection-reaction-diffusion equation

TL;DR

This paper investigates the stability of kink-like and soliton-like traveling wave solutions in a generalized convection-reaction-diffusion equation using qualitative analysis and numerical simulations.

Contribution

It provides new insights into the stability conditions of these solutions within the generalized convection-reaction-diffusion framework.

Findings

Identified stability criteria for kink-like solutions

Demonstrated stability of soliton-like solutions under certain conditions

Validated theoretical results with numerical simulations

Abstract

Stability of the kink-like and soliton-like travelling wave solutions to the generalized convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.