Finite amplitude waves under a small resonant driving force

Details Finite amplitude waves under a small resonant driving force Finite amplitude waves under a small resonant driving force

2005-12-19

arxiv.org/abs/nlin/0512049v1

Nonlinear Sciences

Pattern Formation and Solitons

LaTeX, 11 pages, 1 figure

Scientific paper

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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