Faraday resonance: asymptotic theory of surface waves

DOI10.1016/S0167-2789(98)00034-7zbMath1194.76027OpenAlexW2013098471WikidataQ127909471 ScholiaQ127909471MaRDI QIDQ992121

Andrej Il'ichev

Publication date: 11 September 2010

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00034-7

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (3)

Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation ⋮ Solitary wave decay in non-linear Faraday resonance ⋮ Solitary waves in media with dispersion and dissipation. (A review)

Cites Work

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• Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
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• Theory of non-propagating surface-wave solitons
• Parametrically excited solitary waves
• Nonlinear dynamics of two-mode interactions in parametric excitation of surface waves
• Faraday resonance in rectangular geometry
• Water waves for small surface tension: an approach via normal form
• Bifurcations and nonlinear dynamics of surface waves in Faraday resonance
• On localized solutions in nonlinear Faraday resonance

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