The Whitham equation with surface tension

DOI10.1007/s11071-016-3299-7zbMath1375.76025arXiv2002.09946OpenAlexW2569762886MaRDI QIDQ1681746

Evgueni Dinvay, Henrik Kalisch, Daulet Moldabayev, Denys Dutykh

Publication date: 24 November 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09946

zbMATH Keywords

Hamiltonian systemssurface wavescapillarityfully dispersive equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items

The cubic vortical Whitham equation ⋮ Solitons of Whitham equation with resonance dispersion ⋮ Long time well-posedness of Whitham–Boussinesq systems ⋮ Dispersive estimates for linearized water wave-type equations in \(\mathbb{R}^d\) ⋮ Well-posedness for a Whitham-Boussinesq system with surface tension ⋮ Bidirectional Whitham equations as models of waves on shallow water ⋮ Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves ⋮ On the local well-posedness for a full-dispersion Boussinesq system with surface tension ⋮ Numerical bifurcation and stability for the capillary-gravity Whitham equation ⋮ A comparative study of bi-directional Whitham systems ⋮ Fully dispersive models for moving loads on ice sheets ⋮ An efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations

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