ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Ryskin N. M. Modulational instability of space-charge waves. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 5, pp. 93-100.

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Article
UDC: 
537.86/87:530.182

Modulational instability of space-charge waves

Autors: 
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

Modulational instability of space-charge waves in a strongly magnetized cylindrical charge-neutralized electron beam in a cylindrical wave guide is investigated. For slowly varying amplitudes of fast and slow space-charge modes a system of coupled nontinear Schrodinger equations is derived. It is shown, that because of the interaction between the fast and slow modes, waves of almost all wave numbers are modulationally unstable.

Key words: 
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Reference: 
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Received: 
11.03.1993
Accepted: 
03.06.1994
Published: 
03.03.1995
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