论文标题
量子等离子体中两流不稳定性的非线性阶段的爆炸孤子
Blow-up solitons at the nonlinear stage of the two-stream instability in quantum plasmas
论文作者
论文摘要
研究了量子两流不稳定性在具有反流电子束的血浆中的非线性演化。结果表明，在长波限制的情况下，不稳定性的非线性阶段可以通过椭圆形非线性弦方程来描述。我们提出两种类型的非线性解决方案。第一个是一种不稳定的非线性模式，与生长的线性溶液连续相关，第二个是脉动孤子。我们表明，这两种解决方案都在有限的时间内爆炸。
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.
