热尘埃等离子体中(2+1)维尘埃声孤波的传播特征

Propagation characteristics of(2+1)dimensional dust acoustic solitary waves in hot dusty plasma

研究了由尘埃颗粒、电子和非热离子所组成的非磁化热尘埃等离子体中(2+1)维非线性尘埃声孤波的传播特征.首先,利用约化摄动法推导得到了用来描述(2+1)维非线性尘埃声孤波的Kadomtsev-Petviashvili(KP)方程,并采用行波解法进行了定性分析,从而获得了该系统的相图及Sagdeev势方程;然后,利用数学软件的数值模拟分析方法讨论了等温和绝热两种状态下,热尘埃等离子体系统中不同参数对KP方程的非线性系数、色散系数、系统相图、Sagdeev势函数及孤立波解的影响.最终,研究结果表明:等温和绝热状态下,尘埃颗粒的质量、电子和非热离子的温度、数密度及分布状态等多种系统参数对非线性尘埃声孤波的振幅、宽度及波形等传播特征均存在重要影响.

The propagation characteristics of(2+1)dimensional nonlinear dust acoustic solitary wave in an unmagnetized hot dusty plasma composed of dust particles,electrons and nonthermal ions are studied in the paper.Firstly,the Kadomtsev-Petviashvili(KP)equation,which is used to describe the(2+1)dimensional nonlinear dust acoustic solitary wave,is derived by the reduced perturbation method,and the phase diagram and the Sagdeev potential equation of the system are obtained by using the traveling wave solution method.Then,the effects of different parameters in the hot dusty plasma system on the nonlinear coefficient,dispersion coefficient of the KP equation,system phase diagrams,Sagdeev potential function and the solitary wave solution in isothermal and adiabatic states are discussed by using numerical simulation and analysis method of mathematical software.Finally,the results show that the mass of dust particles,temperature,number density and distribution state of electrons and nonthermal ions have important effects on the amplitude,width and waveform of the nonlinear dust acoustic solitary wave under isothermal and adiabatic conditions.