The effects of surface tension on modulational instability in full-dispersion water-wave models

DOI10.1016/j.euromechflu.2019.04.018zbMath1475.76046OpenAlexW2945209448MaRDI QIDQ2001511

Ashish Kumar Pandey

Publication date: 3 July 2019

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2019.04.018

zbMATH Keywords

Camassa-Holm equationshallow water modelBenjamin-Feir equationbi-directional Whitham equation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Interfacial stability and instability in hydrodynamic stability (76E17)

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Numerical bifurcation and stability for the capillary-gravity Whitham equation ⋮ Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models

Cites Work

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• A proof of the Benjamin-Feir instability
• Wave breaking in the Whitham equation
• Modulational instability in nonlinear nonlocal equations of regularized long wave type
• The Whitham equation as a model for surface water waves
• On two-dimensional packets of capillary-gravity waves
• Modulational instability in the full-dispersion Camassa–Holm equation
• Wave Breaking in a Shallow Water Model
• Modulational Instability in the Whitham Equation for Water Waves
• The disintegration of wave trains on deep water Part 1. Theory
• Non-linear dispersion of water waves
• The Propagation of Nonlinear Wave Envelopes

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