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arXiv · 2601.03575

Existence, Uniqueness and Classification of Plane Waves

Robert Milton
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Abstract

Existence, uniqueness and classification is established for plane waves supported by an irreversible reaction which is a smooth function of local reactant and product concentrations (or prey and predator populations). Rudimentary analytic techniques are used to guarantee a unique plane wave at every wavespeed $V>V_*$ above some threshold. The result readily extends to cutoff reactions, which are zero below some threshold product concentration. These results are not novel, but the method of proof is.

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Robert Milton. 2026-01-07. Existence, Uniqueness and Classification of Plane Waves. https://arxiv.org/abs/2601.03575

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