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arXiv · 2006.03803

The wave breaking for Whitham-type equations revisited

Jean-Claude Saut·Yuexun Wang
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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.

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Jean-Claude Saut, Yuexun Wang. 2020-06-06. The wave breaking for Whitham-type equations revisited. https://doi.org/10.1137/20m1345207

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