Fourth-order nonlinear evolution equation for two Stokes wave trains in deep water

DOI10.1063/1.858209zbMath0825.76091OpenAlexW2029107225MaRDI QIDQ4001067

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Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1063/1.858209

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (16)

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Cites Work

• Note on the modified nonlinear Schrödinger equation for deep water waves
• Phase velocity effects in tertiary wave interactions
• A fourth-order evolution equation for deep water surface gravity waves in the presence of wind blowing over water
• On a fourth-order envelope equation for deep-water waves
• The fourth-order evolution equation for deep-water gravity-capillary waves
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• 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
• Energy transport in a nonlinear and inhomogeneous random gravity wave field
• Nonlinear multiphase deep-water wavetrains
• The disintegration of wave trains on deep water Part 1. Theory

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