Lyapunov-Schmidt Reduction for Singular Perturbations: Wave Trains in Reaction-Diffusion Systems

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Master Thesis

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Abstract

We discuss wave trains in reaction-diffusion system on the real line. We also discuss the singular perturbation theory. The framework of Lyapunov-Schmidt reduction method is discuss in detail and we also show that wave trains exist for zero diffusion coeffcients

Keywords

Wave Trains, Reaction-Diffusion Equations, Singular Perturbation

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