Dispersive shock waves for the Boussinesq Benjamin–Ono equation

DOI10.1111/SAPM.12381zbMath1471.76043OpenAlexW3131809415MaRDI QIDQ5011713

Noel F. Smyth, Lu Trong Khiem Nguyen

Publication date: 27 August 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12381

zbMATH Keywords

hybrid solutiondispersive shock fittingmodulation Whitham equationundular bore model

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Rigorous justification of the Whitham modulation equations for equations of Whitham type ⋮ Whitham modulation theory for the defocusing nonlinear Schrödinger equation in two and three spatial dimensions

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