Dispersive Riemann problems for the Benjamin–Bona–Mahony equation

DOI10.1111/sapm.12426zbMath1476.35142arXiv2012.14579OpenAlexW3193851578WikidataQ114078127 ScholiaQ114078127MaRDI QIDQ5159575

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

Publication date: 28 October 2021

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

Full work available at URL: https://arxiv.org/abs/2012.14579

zbMATH Keywords

nonlinear wavesasymptotic analysisrarefaction wavesdispersive shock wavesexpansion shockssolitary wave sheddingtwo-phase linear wave trains

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)

Related Items (9)

Hyperbolic approximation of the BBM equation ⋮ Extended shallow water wave equations ⋮ Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential ⋮ Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory ⋮ Rigorous justification of the Whitham modulation equations for equations of Whitham type ⋮ Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation ⋮ Taylor trick and travelling wave solutions ⋮ Dynamic soliton–mean flow interaction with non-convex flux ⋮ Singular solutions of the BBM equation: analytical and numerical study

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