Slow passage through parametric resonance for a weakly nonlinear dispersive wave

2008/06/20 by S. Glebov, Glebov, S., O. Kiselev +3
Mathematics · Physics and Astronomy · #35Q51 #35Q55 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:35Q51 #msc:35Q55

paper · pdf · doi:10.48550/arxiv.0806.3338

20 pages, 2 figuras

arxiv created 2008/06/20 · arxiv updated 2009/12/01

Abstract

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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