Volume 130, Number 3, May 2020
|Number of page(s)||5|
|Published online||28 May 2020|
Blow-up solitons at the nonlinear stage of the two-stream instability in quantum plasmas
Institute for Nuclear Research - Pr. Nauki 47 - Kyiv 03680, Ukraine
Received: 13 March 2020
Accepted: 14 May 2020
The nonlinear evolution of the quantum two-stream instability in a plasma with counter-streaming electron beams is studied. It is shown that in the long-wave limit the nonlinear stage of the instability can be described by the elliptic nonlinear string equation. We present two types of nonlinear solutions. The first one is an unstable nonlinear mode that is continuously related with the growing linear solution and the second one is a pulsating soliton. We show that both of these solutions blow up in a finite time.
PACS: 05.45.Yv – Solitons / 05.60.Gg – Quantum transport / 52.35.Qz – Microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.)
© EPLA, 2020
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