Resonant excitation of nonlinear waves

We construct a special asymptotic solution for the forced Boussinesq equation. The perturbation is small and oscillates with a slowly varied frequency. The slow passage through the resonance generates waves with the finite amplitude. This phenomenon is described in details.

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Bibliographic Details
Main Authors: Gorbatova, Nataliya, Kiselev, Oleg, Glebov, Sergei
Format: Conference Proceeding
Language:English
Online Access:Get full text
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Description
Summary:We construct a special asymptotic solution for the forced Boussinesq equation. The perturbation is small and oscillates with a slowly varied frequency. The slow passage through the resonance generates waves with the finite amplitude. This phenomenon is described in details.
ISSN:0094-243X
DOI:10.1063/1.2205803