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Solitary waves in an ion-beam-plasma system

Published online by Cambridge University Press:  13 March 2009

Y. Nakamura
Affiliation:
institute of Space and Astronautical Science, Yoshinodai, Sagamihara, Kanagawa 229, Japan
K. Ohtani
Affiliation:
institute of Space and Astronautical Science, Yoshinodai, Sagamihara, Kanagawa 229, Japan

Abstract

Solitary waves in an ion-beam-plasma system are investigated theoretically using the pseudo-potential method, including finite temperatures of plasma ions and beam ions. The beam velocity is high enough to avoid ion-ion instability. Three kinds of solitary waves are possible, corresponding to ion- acoustic waves and to fast and slow space-charge waves in the beam. To observe the formation of solitary waves from an initial positive pulse, numerical simulations are performed. For the slow beam mode, a smaller solitary wave appears at the leading part of the pulse, which is a result of negative nonlinearity and anomalous dispersion of the slow mode, and is the opposite behaviour to the cases of the ion-acoustic wave and to the fast beam mode. Overtaking collisions of a solitary wave with a fast-mode solitary wave or with a slow-mode solitary wave are simulated.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1995

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