| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 759013 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 9 Pages |
•We study electron–electromagnetic wave interaction under condition of anomalous Doppler effect.•A four-parameter symmetry group is obtained, which determines point symmetries of the system.•Solutions describing self-similar amplification and compression of short electromagnetic pulses are analyzed.•Numerical simulation confirms that a small input pulse rapidly transforms into the self-similar solution.
Lie symmetry analysis is applied for a problem of interaction of electron cyclotron oscillators with a slow electromagnetic wave under condition of the anomalous Doppler effect. This analysis reveals scaling invariance of the system and existence of self-similar solutions which describe amplification of a short electromagnetic pulse with its subsequent compression. The results of theoretical analysis are confirmed by numerical simulations.
