有界量子等离子体中的孤波  

Solitary waves in bounded quantum plasmas

作　　者：陈建宏 常博 席盼祥 丁小婷 CHEN Jianhong;CHANG Bo;XI Panxiang;DING Xiaoting(School of Electronic and Information Engeering, Lanzhou City University, Lanzhou 730070)

机构地区：[1]兰州城市学院电子与信息工程学院,甘肃兰州730070

出　　处：《安徽大学学报（自然科学版）》2018年第3期37-40,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11647150);2016年度陇原青年创新创业人才项目;甘肃省高等学校科学研究项目(2016A-068);兰州城市学院本科生科研创新基金项目(2016-15)

摘　　要：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.

关 键 词：有界量子等离子体 拟KdV方程 孤立波 

分 类 号：O534[理学—等离子体物理]