Shoaling of nonlinear wave-groups on water of slowly varying depth

DOI10.1007/BF00960380zbMath0571.76012OpenAlexW2084016802MaRDI QIDQ1061570

Ruth Iusim, Michael Stiassnie

Publication date: 1985

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00960380

zbMATH Keywords

approximate analytical solutionmodulated wave-trainsshoaling of modulated wave-trainswave field evolutionwave-induced mean current

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Related Items (2)

On the Alber equation for shoaling water waves ⋮ Fourth order evolution equations and stability analysis for Stokes waves on arbitrary water depth

Cites Work

• Derivation of the nonlinear Schrödinger equation for shoaling wave- groups
• On the development of packets of surface gravity waves moving over an uneven bottom
• Water waves, nonlinear Schrödinger equations and their solutions
• Effects of slowly varying depth and current on the evolution of a Stokes wavepacket
• On modifications of the Zakharov equation for surface gravity waves
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Shoaling of finite-amplitude surface waves on water of slowly-varying depth
• Long-time evolution of an unstable water-wave train
• On three-dimensional packets of surface waves

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