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The stability of the dust acoustic waves under transverse perturbations in a magnetized and collisionless dusty plasma

  • Dong-Ning Gao (a1), Xin Qi (a1), Xue-Ren Hong (a1), Xue Yang (a1), Wen-Shan Duan (a1) and Lei Yang (a1) (a2)...

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.

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