The stability of the dust acoustic waves under transverse perturbations in a magnetized and collisionless dusty plasma
The stability of the dust acoustic waves under transverse perturbations in a magnetized and collisionless dusty plasma
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DOI：
10.1017/s0022377813001396
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发表时间：
2013-12
影响因子：
2.5
通讯作者：
Dong-ning Gao;X. Qi;X. Hong;Xueying Yang;W. Duan;Lei Yang
中科院分区：
文献类型：
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作者：
Dong-ning Gao;X. Qi;X. Hong;Xueying Yang;W. Duan;Lei Yang
对双离子温度磁化无碰撞尘埃等离子体中尘埃声波在横向扰动下的稳定性进行了数值和理论研究。利用约化扰动技术给出了离散原子波的Zakharov-Kuznetsov（ZK）方程、修正的ZK方程和扩展的ZK（EZK）方程。通过对EZK方程的孤子解施加高阶横向微扰，得到了截止频率。得到了孤立波的传播速度、真实的截止频率以及高阶扰动对孤立波的增长率。
Numerical and theoretical investigations are carried out for the stability of the dust acoustic waves (DAWs) under the transverse perturbation in a two-ion temperature magnetized and collisionless dusty plasma. The Zakharov-Kuznetsov (ZK) equation, modified ZK equation, and Extended ZK (EZK) equation of the DAWs are given by using the reductive perturbation technique. The cut-off frequency is obtained by applying higher-order transverse perturbations to the soliton solution of the EZK equation. The propagation velocity of solitary waves, the real cut-off frequency, as well as the growth rate of the higher-order perturbation to the solitary wave are obtained.