Finite amplitude waves under a small resonant driving force

2005/12/19 by Nataliya Gorbatova, Gorbatova, Nataliya, Oleg Kiselev +3
Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0512049

LaTeX, 11 pages, 1 figure

arxiv created 2005/12/19 · arxiv updated 2009/12/01

Abstract

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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