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Finite amplitude waves under a small resonant driving force

Nataliya Gorbatova·Oleg Kiselev·Sergei Glebov
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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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Nataliya Gorbatova, Oleg Kiselev, Sergei Glebov. 2005-12-19. Finite amplitude waves under a small resonant driving force. https://arxiv.org/abs/nlin/0512049

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