Finite amplitude waves under a small resonant driving force

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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.
LaTeX, 11 pages, 1 figure

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Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/106461

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0512049
 http://arxiv.org/abs/nlin/0512049

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arXiv