The wave breaking for Whitham-type equations revisited
Analysis of PDEs
2022-04-21 v1
Abstract
We prove wave breaking (shock formation) for some Whitham-type equations which include the Burgers-Hilbert equation, the fractional Korteweg-de Vries equation, and the classical Whitham equation. The result seems to be new for the Burgers-Hilbert equation. In the other cases we provide simpler proofs than the known ones.
Cite
@article{arxiv.2006.03803,
title = {The wave breaking for Whitham-type equations revisited},
author = {Jean-Claude Saut and Yuexun Wang},
journal= {arXiv preprint arXiv:2006.03803},
year = {2022}
}