Papers › Highest Cusped Waves for the Burgers-Hilbert equation
Highest Cusped Waves for the Burgers-Hilbert equation
Joel Dahne, Javier Gómez-Serrano
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In this paper we prove the existence of a periodic highest, cusped, traveling wave solution for the Burgers-Hilbert equation fₜ + f fₓ = H[f] and give its asymptotic behaviour at $0$. The proof combines careful asymptotic analysis and a computer-assisted approach.
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