Highest Cusped Waves for the Burgers–Hilbert Equation

In this paper we prove the existence of a periodic highest, cusped, traveling wave solution for the Burgers–Hilbert equation ft+ ffx= H[f] , and give its asymptotic behaviour at 0. The proof combines careful asymptotic analysis and a computer-assisted approach. © 2023, The Author(s), under exclusive...

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Detalhes bibliográficos
Autores: Dahne, J., Gómez-Serrano, J.
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/536871
Acesso em linha:http://hdl.handle.net/2072/536871
Access Level:acceso abierto
Palavra-chave:Cusped Waves, Burgers–Hilbert Equation, asymptotic analysis
Descrição
Resumo:In this paper we prove the existence of a periodic highest, cusped, traveling wave solution for the Burgers–Hilbert equation ft+ ffx= H[f] , and give its asymptotic behaviour at 0. The proof combines careful asymptotic analysis and a computer-assisted approach. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.