✦ LIBER ✦

Solitons in collisionless cold plasma

✍ Scribed by Yu.B. Movsesyants

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 451 KB
Volume: 140
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(87)90080-x

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✦ Synopsis

The relativistic nonlinear self-consistent equations for a collisionless plasma with stationary ions are transformed into a form appropriate for finding exact analytic solutions. It is shown that for an axial system with planar geometry, the two-dimensional stationary equations for this system can be reduced to the sh-Gordon equation. The exact solution of this equation describing the chargedensity equilibrium configuration is obtained, the solution having sharp transverse boundaries and a soliton form in longitudinal direction. The generalization to the nonstationary case is considered in an perturbative approach.

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