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arXiv · 2605.17134

Wave breaking for perturbed Burgers equations

Ethan Botelho·Khai T. Nguyen·Madhumita Roy
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Abstract

We establish a simple and explicit criterion for wave breaking for a general class of perturbed Burgers equations that cover several Burgers-type models, including the Fractional KdV equation, the Whitham equation, and the Fornberg-Whitham equation. The proof is both rigorous and straightforward.

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Ethan Botelho, Khai T. Nguyen, Madhumita Roy. 2026-05-16. Wave breaking for perturbed Burgers equations. https://arxiv.org/abs/2605.17134

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