Irrotational water waves and the complex Korteweg-de Vries equation

DOI10.1016/0167-2789(96)00109-1zbMath0899.76083OpenAlexW2070818754MaRDI QIDQ1816835

Yanyan Li

Publication date: 28 November 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00109-1

zbMATH Keywords

small perturbationssoliton solutionone-dimensional channelcutoff amplitudeLevi-Civita theorynonlinear differential functional equation for velocity potential

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (3)

Simple explicit formulae for finite time blow up solutions to the complex KdV equation ⋮ The exact solutions to the complex KdV equation ⋮ Complex-valued Burgers and KdV-Burgers equations

Cites Work

• The inverse scattering transform: Semi-infinite interval
• Unnamed Item

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