Expansion shock waves in regularized shallow-water theory

DOI10.1098/rspa.2016.0141zbMath1371.76091arXiv1601.01071OpenAlexW2337956223WikidataQ52386334 ScholiaQ52386334MaRDI QIDQ5363575

M. A. Hoefer, Gennady A. El, Michael Shearer

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01071

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (9)

Hyperbolic approximation of the BBM equation ⋮ Rankine-Hugoniot conditions for fluids whose energy depends on space and time derivatives of density ⋮ Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients ⋮ Stationary shock-like transition fronts in dispersive systems ⋮ Hyperbolicity of the modulation equations for the Serre-Green-Naghdi model ⋮ Stationary Expansion Shocks for a Regularized Boussinesq System ⋮ Asymptotic soliton-like solutions to the Benjamin-Bona-Mahony equation with variable coefficients and a strong singularity ⋮ Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves ⋮ Singular solutions of the BBM equation: analytical and numerical study

This page was built for publication: Expansion shock waves in regularized shallow-water theory