Instability of Dust-Acoustic Waves in Plasmas with Two-Temperature Nonthermal Ions

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.

Automated summary

Theoretical and numerical investigations were conducted on the instability of dust-acoustic waves in a magnetized dusty plasma with two-temperature nonthermal ions under transverse perturbation. It was found that the most unstable wave mode exists in the system, and solitary waves become unstable when the ratio of perturbation wavelength to solitary wave width exceeds a certain critical value in the experimental coordinate system.