Dynamical Phenomena in Plasma Wave Systems

1.阐明了离子束和电子束等离子体中孤子的性质及其在不稳定波非线性发展中的作用。实验证实了孤子的形成对稳定不稳定性的作用.提出了一种新的粒子加速机制--大振幅磁声波共振加速。这一机制解释了太阳耀斑中粒子的快速加速现象.利用微分非线性薛定谔方程研究了非线性Alfven波沿沿着磁通传播的情况。得到了初始条件与孤子数之间的关系.利用双等离子体装置，研究了泵浦波的倍频和电子等离子体波的高次谐波产生等混沌现象.考虑带耗散项的非线性薛定谔方程，阐明了扰动下多孤子态的性质.采用漂移波的涡丝近似，研究了涡丝的动力学和统计特性。通过分析得到了涡的扩散常数.提出了利用孤子理论构造新的链接多项式的一般理论。链接多项式给出了一个系统的方法来分类节点和链接.本文研究了非均匀磁化等离子体中漂移波的激发和激发。研究了具有自旋特性的漂移脉冲波.研究了离子声波孤子的反射和透射。开发了产生大振幅离子波的技术。对回旋运动的粒子施加垂直于磁场的静电波。数值模拟了相空间中薄随机层的形成过程。

1. Properties and roles of solitons in the nonlinear development of unstable waves were clarified for ion beam and electron beam plasmas. Formation of solitons works to stabilize the instability, which was confirmed by experiments.2. As a new mechanism of particle acceleration, resonant acceleration by large amplitu magneto-sonic waves was proposed. Rapid particle acceleration in solar flares is explained by this mechanism.3. Nonlinear Alfven waves propagating along magnetic flux was investigated by using the derivative nonlinear Schrodinger equation. Relations between initial conditions and numbers of emerging solitons were obtained.4. Using double plasma device, chaos phenomena such as period doubling of pump waves and higher harmonics generation of electron plasma waves were observed.5. Considering the nonlinear Schrodinger equation with a dissipative term, properties of multi-soliton states under the perturbations were clarified.6. Employing vortex filament approximation for drift waves, dynamical and statistical properties of vortex filaments were investigated. Diffusion constant for vortices was analytically obtained.7. A general theory to construct new link polynomials from soliton theory was proposed. Link polynomials give a systematic method to classify knots and links.8. Propagations and excitations of drift waves in non-uniform magnetized plasmsas were investigated. Drift pulse waves, which have sbliton properties, were observed.9. Reflections and transmissions of ion sound wave solitons were studied. Techniques for the creation of large amplitude ion waves were developed.10. To the particle under cyclotron motion, a static electric wave perpendicular to the magnetic field is applied. Formation of a thin stochastic layer in phase space was shown numerically.