Slow passage through parametric resonance for a weakly nonlinear dispersive wave
Mathematical Physics
2008-06-23 v1 math.MP
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.
Cite
@article{arxiv.0806.3338,
title = {Slow passage through parametric resonance for a weakly nonlinear dispersive wave},
author = {S. Glebov and O. Kiselev and N. Tarkhanov},
journal= {arXiv preprint arXiv:0806.3338},
year = {2008}
}
Comments
20 pages, 2 figuras