2 citations · 3 across the 7 of their papers we have counts for
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Slow passage through parametric resonance for a weakly nonlinear dispersive wave
S. Glebov, O. Kiselev, N. Tarkhanov
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 reson…
The capture into parametric autoresonance
O M Kiselev, S G Glebov
In this work we show that the capture into parametric resonance may be explained as the pitchfork bifurcation in the primary parametric resonance equation. We prove that the soluti…
Resonant pumping in nonlinear Klein-Gordon equation and solitary packets of waves
O. M. Kiselev, S. G. Glebov, V. A. Lazarev
Solution of the nonlinear Klein-Gordon equation perturbed by small external force is investigated. The frequency of perturbation varies slowly and passes through a resonance. The r…
Scattering of solitons on resonance
O M Kiselev, S G Glebov
We investigate a propagation of solitons for nonlinear Schrodinger equation under small driving force. The driving force passes the resonance. The process of scattering on the reso…