Abstract
A multiple sclaes perturbation theory has been applied to investigate the nonlinear behaviour of beam-plasma system near a marginally stable state in the presence of longitudinal magnetic field. The perturbation method leads to a nonlinear Schrödinger equation for the finite amplitude. The coefficients of this equation show that only if the beam is compressed isothermally can there exist a range of wavenumbers for which stabilization might occur. The stable region increases with the applied magnetic field.
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El-Labany, S.K., El-Hanbaly, A.M. Two-stream instability in the presence of longitudinal magnetic field. Astrophys Space Sci 153, 75–85 (1989). https://doi.org/10.1007/BF00643613
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DOI: https://doi.org/10.1007/BF00643613