Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.153...75e&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 153, no. 1, March 1989, p. 75-85.
Astronomy and Astrophysics
Astrophysics
Magnetic Field Configurations, Magnetohydrodynamic Stability, Perturbation Theory, Electron Beams, Nonlinear Equations, Schroedinger Equation
Scientific paper
A multiple scales perturbation theory has been applied to investigate the nonlinear behavior of beam-plasma system near a marginally stable state in the presence of longitudinal magnetic field. The perturbation method leads to a nonlinear Schroedinger 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.
El-Hanbaly A. M.
El-Labany S. K.
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