Slow passage through parametric resonance for a weakly nonlinear dispersive wave
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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.
20 pages, 2 figuras
20 pages, 2 figuras