Elsevier

Physics Letters A

Volume 378, Issues 22–23, 18 April 2014, Pages 1622-1625
Physics Letters A

Modulational instability of ultra-low-frequency shear dust Alfvén waves in a plasma medium of positive and negatively charged dust fluids

https://doi.org/10.1016/j.physleta.2014.04.006Get rights and content

Highlights

  • A novel opposite polarity dust-plasma medium is considered.

  • Instability of shear dust Alfvén waves (SDAWs) is examined.

  • The finite amplitude SDAWs are found to be modulationally unstable.

  • The instability criterion and growth rate of SDAWs found here are new.

Abstract

The propagation of finite amplitude ultra-low-frequency shear dust Alfvén (SDA) waves, and their modulational instability in a magnetized plasma medium of positive and negatively charged dust fluids have been theoretically investigated by using the reductive perturbation method. The derivative nonlinear Schrödinger equation is derived to examine the stability analysis of such SDA waves. It is found that the SDA waves propagating in such an opposite polarity dust plasma medium are modulationally unstable, and that the instability criterion and the growth rate of these unstable SDA waves in such a novel opposite polarity dust plasma medium are found to be significantly different from those in electron–ion or electron–positron plasma media. The implications of the present investigation in different space environments and laboratory devices are briefly discussed.

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