Dispersion Estimates for Third Order Equations in Two Dimensions

DOI10.1081/PDE-120025491zbMath1060.35122OpenAlexW2023360060MaRDI QIDQ4446124

Herbert Koch, Matania Ben-Artzi, Jean Claude Saut

Publication date: 25 January 2004

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120025491

zbMATH Keywords

nonlinear Schrödinger equationsStrichartz estimatesdispersive equationsdeep water wavesShrira system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lasers, masers, optical bistability, nonlinear optics (78A60)

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Cites Work

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• The fourth-order evolution equation for deep-water gravity-capillary waves
• A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Wind effects on the nonlinear evolution of slowly varying gravity—capillary waves
• Oscillatory integrals, lagrange immersions and unfolding of singularities

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