有界量子等离子体中的孤波

Solitary waves in bounded quantum plasmas

基于量子流体力学模型,研究柱坐标系下有界量子等离子体的孤波传播性质.利用约化摄动法,得到描述有界量子等离子体孤波的拟KdV方程.通过分析发现:当边界参数R比较小时,孤波振幅随时间衰减,且随着R的减小振幅衰减变快;R趋近于+’时,量子等离子体波呈现孤立波特性.

Based on the quantum hydrodynamic model,the propagation properties of solitary waves in bounded quantum plasmas in cylindrical geometry were studied.By employing the reduced perturbation method,aquasi Korteweg-de Vries-type（KdV）equation for describing the quantum solitary waves was obtained.It was found that when the boundary parameter R was small,the amplitude of the solitary wave decayed with time.And the larger the value of the radius Rof bounded geometry,the weaker the damping of the solitary wave.Quantum plasma waves exhibited the properties of soliton when Rapproached infinity.