Wave breaking for perturbed Burgers equations
Analysis of PDEs
2026-05-19 v1
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.
Cite
@article{arxiv.2605.17134,
title = {Wave breaking for perturbed Burgers equations},
author = {Ethan Botelho and Khai T. Nguyen and Madhumita Roy},
journal= {arXiv preprint arXiv:2605.17134},
year = {2026}
}