A selection of nonlinear problems in water waves, analysed by perturbation-parameter techniques

DOI10.3934/CPAA.2012.11.1497zbMath1372.76021OpenAlexW2329783347MaRDI QIDQ1947934

R. S. Johnson

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1497

zbMATH Keywords

nonlinear wavesasymptotic methodswater wavessingular perturbation theoryparameter expansions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

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Derivation of the Camassa-Holm equations for elastic waves ⋮ Extended shallow water wave equations ⋮ Asymptotic Methods for Weakly Nonlinear and Other Water Waves ⋮ Derivation of Generalized Camassa-Holm Equations from Boussinesq-type Equations ⋮ On the Cauchy problem for the fractional Camassa-Holm equation

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