Abstract—

Theoretical and numerical investigations are carried out for the instability of the dust–acoustic waves (DAWs) under the transverse perturbation in a magnetized dusty plasma with two-temperature nonthermal ions. By the reductive perturbation technique, the Zakharov–Kuznetsov (ZK) equation and modified ZK equation of the DAWs are derived. Under the higher-order transverse perturbations, the instability growth rate of the soliton solutions of the ZK equations is studied. It is found that the most unstable wave mode exists in system. It is also noted that solitary waves are unstable when the ratio of the perturbation wave length to solitary wave width in the experimental coordinate is larger than a certain critical value.

中文翻译：

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具有两个温度的非热离子的等离子体中尘埃声波的不稳定性

摘要-

对于在带有两个温度非热离子的磁化尘埃等离子体中的横向扰动下，尘埃声波（DAW）的不稳定性进行了理论和数值研究。通过归纳摄动技术，推导了DAW的Zakharov–Kuznetsov（ZK）方程和修正的ZK方程。在高阶横向扰动下，研究了ZK方程孤子解的不稳定性增长率。发现系统中存在最不稳定的波动模式。还应注意的是，当实验坐标中的扰动波长与孤立波宽之比大于某个临界值时，孤立波不稳定。