Non-resonant interacting water waves in \(2+1\) dimensions.

DOI10.1016/S0960-0779(01)00224-7zbMath1045.76002MaRDI QIDQ1610115

Attilio Maccari

Publication date: 18 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

asymptotic perturbation methodFourier expansionsolitonsMilewski-Keller equation

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) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (5)

Coherent solutions for the fundamental resonance of the Boussinesq equation ⋮ Dromions bound states. ⋮ Solitons trapping for the nonlinear Klein-Gordon equation with an external excitation. ⋮ Periodic behavior for the parametrically excited Boussinesq equation ⋮ Relativistic solitons and superluminal signals

Cites Work

• Unnamed Item
• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• On the soliton solutions of the Davey-Stewartson equation for long waves
• Non-resonant interacting ion acoustic waves in a magnetized plasma
• On three-dimensional packets of surface waves

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