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math-ph2008
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…
math-ph2008
Scattering problem for the local parametric resonance equation
Oleg Kiselev, Yulia Bagderina, Sergei Glebov
In this paper we present the solution of local parametric resonance equation in terms of parabolic cylinder functions and solve the scattering problem for this equation.