论文标题

重新审视Whitham型方程的波浪破裂

The wave breaking for Whitham-type equations revisited

论文作者

Saut, Jean-Claude, Wang, Yuexun

论文摘要

我们证明了一些Whitham型方程的波浪破裂(冲击形成),其中包括Burgers-Hilbert方程,分数Korteweg-De Vries方程和经典的Whitham方程。对于汉堡 - 希尔伯特方程来说,结果似乎是新的。在其他情况下,我们提供的证明比已知的更简单。

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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