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- W160874741 abstract "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." @default.
- W160874741 created "2016-06-24" @default.
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- W160874741 date "1977-11-01" @default.
- W160874741 modified "2023-09-24" @default.
- W160874741 title "Nonlinear charge-density waves in a bounded magnetized plasma" @default.
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