Nonlinear charge-density waves in a bounded magnetized plasma
Journal Article
·
· Sov. J. Plasma Phys. (Engl. Transl.); (United States)
OSTI ID:6774369
The propagation of slightly nonlinear electron-density waves in a waveguide filled with a magnetized plasma is analyzed. It is assumed that the nonlinearity, the dispersion, and the dissipation are slight. Then the original nonlinear system of Vlasov--Poisson equations is reduced to a system of evolutionary equations of the Korteweg--de Vries type for the amplitudes of the waveguide modes. This system has a nonlocal term describing collisionless damping. In the case in which there is no mode degeneracy it is found that for only certain of these modes does a finite initial perturbation evolve to Korteweg--de Vries solitons. The conditions for soliton amplification in the beam--plasma system are discussed.
- Research Organization:
- Institute of Physics, Academy of Sciences of the Ukrainian SSR
- OSTI ID:
- 6774369
- Journal Information:
- Sov. J. Plasma Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Plasma Phys. (Engl. Transl.); (United States) Vol. 3:6; ISSN SJPPD
- Country of Publication:
- United States
- Language:
- English
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