Fourth-order nonlinear evolution equations for a capillary-gravity wave packet in the presence of another wave packet in deep water

DOI10.1063/1.2772252zbMath1182.76189OpenAlexW2046891543MaRDI QIDQ5303473

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Publication date: 18 March 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2772252

zbMATH Keywords

integral equationsnonlinear equationscapillary wavesgravity wavesflow instability

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (5)

Nonlinear evolution equations in crossing seas in the presence of uniform wind flow ⋮ Nonlinear evolution equations of co-propagating waves over finite depth fluid ⋮ Conditions of Wave Propagation in a Two-Layer Liquid with Free Surface ⋮ Fourth-order coupled nonlinear Schrödinger equations for gravity waves on deep water ⋮ Energy of Motion of Internal and Surface Waves in a Two-Layer Hydrodynamic System

Cites Work

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• Phase velocity effects in tertiary wave interactions
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• On a fourth-order envelope equation for deep-water waves
• The fourth-order evolution equation for deep-water gravity-capillary waves
• On the changes in phase speed of one train of water waves in the presence of another
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Stability of weakly nonlinear deep-water waves in two and three dimensions
• The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
• The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
• Fourth-order nonlinear evolution equation for two Stokes wave trains in deep water
• Nonlinear multiphase deep-water wavetrains
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• On the modulational stability of traveling and standing water waves
• The disintegration of wave trains on deep water Part 1. Theory

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