Linear instability of a Burgers--Hilbert traveling wave

Ángel Castro, Javier Gómez-Serrano, Miguel M. G. Pascual-Caballo

We study the stability of traveling wave solutions to the Burgers--Hilbert equation on $\mathbb{T}$ in the regime of small frequency $\ddot{I}‰$ and large wave speed $c$. For $\ddot{I}‰=3$ and…