An intermediate wavelength, weakly nonlinear theory for the evolution of capillary gravity waves

DOI10.1016/J.WAVEMOTI.2011.03.006zbMath1365.76022OpenAlexW2086756308MaRDI QIDQ2359305

Julia M. Rees, William B. Zimmerman

Publication date: 28 June 2017

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2011.03.006

zbMATH Keywords

evolution equationdispersion relationsurface wavesFredholm alternative theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Asymptotic expansions of solutions to PDEs (35C20)

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Cites Work

• Unnamed Item
• Weakly nonlinear waves in water of variable depth: variable-coefficient Korteweg-de Vries equation
• Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails
• Internal solitary waves in the ocean: analysis using the periodic, inverse scattering transform
• Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation
• On localization solutions of an equation governing Benard--Marangoni convection
• Do we observe Gerstner waves in wave tank experiments?
• Dynamics of a vertically falling film in the presence of a first-order chemical reaction
• T<scp>HE</scp> O<scp>RIGINS OF</scp> W<scp>ATER</scp> W<scp>AVE</scp> T<scp>HEORY</scp>

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