Highest Cusped Waves for the Burgers-Hilbert equation
Analysis of PDEs
2023-08-16 v1
Abstract
In this paper we prove the existence of a periodic highest, cusped, traveling wave solution for the Burgers-Hilbert equation and give its asymptotic behaviour at . The proof combines careful asymptotic analysis and a computer-assisted approach.
Cite
@article{arxiv.2205.00802,
title = {Highest Cusped Waves for the Burgers-Hilbert equation},
author = {Joel Dahne and Javier Gómez-Serrano},
journal= {arXiv preprint arXiv:2205.00802},
year = {2023}
}
Comments
44 pages, 3 figures