Solitary wave decay in non-linear Faraday resonance

DOI10.1016/S0997-7546(99)80007-7zbMath0935.76030OpenAlexW2068374988MaRDI QIDQ1302951

Andrej Il'ichev, I. B. Bakholdin

Publication date: 9 May 2000

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7546(99)80007-7

zbMATH Keywords

Miles equationsolitary wave disturbancestransition to instabilityvertically oscillating long channel

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (1)

Solitary waves in media with dispersion and dissipation. (A review)

Cites Work

• Faraday resonance: asymptotic theory of surface waves
• Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation
• The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
• Wave jumps in media described by a modified Schrödinger equation
• 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
• On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
• Stability theory of difference schemes and iterative methods
• Bifurcations and nonlinear dynamics of surface waves in Faraday resonance
• On localized solutions in nonlinear Faraday resonance
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