量子等离子体双流不稳定性非线性阶段的爆破孤子
Blow-up solitons at the nonlinear stage of the two-stream instability in quantum plasmas
摘要：
研究了电子束逆流等离子体中量子双流不稳定性的非线性演化。结果表明，在长波极限下，不稳定性的非线性阶段可以用椭圆型非线性弦方程来描述。我们提出了两种类型的非线性解。第一个是不稳定的非线性模，它与增长的线性解连续相关，第二个是脉动孤子。我们证明了这两个解决方案在有限时间内爆炸。
英文摘要：
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 the 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.
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