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math-ph2004★ 2 cited
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…
math-ph2004★ 1 cited
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…