Wave breaking for perturbed Burgers equations

Fuente: arXiv
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Bibliographic Details
Main Authors: Botelho, Ethan, Nguyen, Khai T., Roy, Madhumita
Format: Preprint
Published: 2026
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_version_ 1866916020179959808
author Botelho, Ethan
Nguyen, Khai T.
Roy, Madhumita
author_facet Botelho, Ethan
Nguyen, Khai T.
Roy, Madhumita
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_17134
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Wave breaking for perturbed Burgers equations
Botelho, Ethan
Nguyen, Khai T.
Roy, Madhumita
Analysis of PDEs
76B15, 76B03, 35S30, 35A20
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.
title Wave breaking for perturbed Burgers equations
topic Analysis of PDEs
76B15, 76B03, 35S30, 35A20
url https://arxiv.org/abs/2605.17134