On the localized wave patterns supported by convection-reaction-diffusion equation
Vsevolod A. Vladimirov
TL;DR
This paper investigates traveling wave solutions in convection-reaction-diffusion equations, demonstrating the existence of compactly supported solutions and solitary waves through nonlinear analysis and numerical simulations.
Contribution
It introduces new findings on localized wave patterns, including compactly supported solutions and solitary waves, in convection-reaction-diffusion equations.
Findings
Existence of compactly supported solutions.
Presence of solitary waves.
Validated through numerical simulations.
Abstract
A set of traveling wave solution to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation. It is shown the existence of compactly supported solutions as well as solitary waves within this family for wide range of parameter values.
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