Some nonlinear evolution equations in water waves

DOI10.1006/jmaa.2000.7023zbMath0970.35129OpenAlexW1966524947MaRDI QIDQ1593755

Lokenath Debnath

Publication date: 10 October 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7023

zbMATH Keywords

water wavesBoussinesq-type equationsforced nonlinear Schrödinger equationforced Korteweg-de Vries equationforced Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

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• A unified model for the evolution of nonlinear water waves
• On the excitation of long nonlinear water waves by a moving pressure distribution
• On the excitation of nonlinear water waves by a moving pressure distribution oscillating at resonant frequency
• Radiation of solitons by slender bodies advancing in a shallow channel
• The semi-analytic theory of standing waves
• On the excitation of long nonlinear water waves by a moving pressure distribution. Part 2. Three-dimensional effects
• Three-dimensional, nonlinear wave interaction in water of constant depth
• Free-surface flow past oscillating singularities at resonant frequency
• Sur une transformation conforme, utile dans le problème des ondes de gravité stationnaires
• Nonlinear waves near a cut-off frequency in an acoustic duct – a numerical study
• Modified Boussinesq equations and associated parabolic models for water wave propagation
• Waves in fluids
• THE ULTIMATE APPROACH TO THE STEADY STATE IN THE GENERATION OF WAVES ON A RUNNING STREAM
• Wave Instabilities