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Hilbert transform view of water-wave theory

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Publication:6541830
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DOI10.1017/jfm.2024.318MaRDI QIDQ6541830

R. V. Krechetnikov

Publication date: 21 May 2024

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)




zbMATH Keywords

cylindrical waveenvelope equationZakharov equationweakly nonlinear wave theory


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)


Cites Work

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  • The Ginzburg-Landau manifold is an attractor
  • Lectures on Cauchy's problem in linear partial differential equations.
  • Rayleigh–Taylor and Richtmyer–Meshkov instabilities of flat and curved interfaces
  • Singularities in water waves and Rayleigh–Taylor instability
  • Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
  • Water waves and Korteweg–de Vries equations
  • Nonlinear evolutions of surface gravity waves on fluid of finite depth
  • Dilation theory A century of distancing from the frontiers
  • Solitary internal waves in deep water
  • The nonlinear Schrödinger equation in cylindrical geometries







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