Slow passage through parametric resonance for a weakly nonlinear dispersive wave

Details Slow passage through parametric resonance for a weakly nonlinear dispersive wave Slow passage through parametric resonance for a weakly nonlinear dispersive wave

2008-06-20

arxiv.org/abs/0806.3338v1

Physics

Mathematical Physics

20 pages, 2 figuras

Scientific paper

A solution of the nonlinear Klein-Gordon equation perturbed by a parametric
driver is studied. The frequency of the parametric perturbation varies slowly
and passes through a resonant value. It yields a change in a solution. We
obtain a connection formula for the asymptotic solution before and after the
resonance.

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