Stability analysis from higher order nonlinear Schrödinger equation for interfacial capillary-gravity waves

DOI10.1007/S11012-023-01638-5zbMath1522.76032OpenAlexW4321238238MaRDI QIDQ6169756

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Publication date: 15 August 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-023-01638-5

zbMATH Keywords

Boussinesq approximationair-water interfacesurface tension coefficientflow velocity effectnarrow/broader-banded evolution equationtwo-dimensional instability region

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Hydrodynamic stability (76E99)

Cites Work

• Stability of small but finite amplitude interfacial waves
• Nonlinear dynamics of interfacial waves
• A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water
• A fourth-order evolution equation for deep water surface gravity waves in the presence of wind blowing over water
• The fourth-order evolution equation for deep-water gravity-capillary waves
• Stability of finite-amplitude interfacial waves. Part 3. The effect of basic current shear for one-dimensional instabilities
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Stability analysis from fourth order evolution equation for small but finite amplitude interfacial waves in the presence of a basic current shear
• Stability of finite-amplitude interfacial waves. Part 1. Modulational instability for small-amplitude waves
• The disintegration of wave trains on deep water Part 1. Theory
• The Propagation of Nonlinear Wave Envelopes

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