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Dust-Acoustic Rogue Waves in Opposite Polarity Dusty Plasma Featuring Nonextensive Statistics

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Abstract

Modulational instability of dust-acoustic waves, which propagate in an opposite polarity dusty plasma system containing inertial warm negatively and positively charged massive dust grains as well as nonextensive q-distributed electrons and ions has been theoretically investigated. The nonlinear Schrödinger equation is derived by employing the reductive perturbation method. The nonlinear Schrödinger equation predicts the conditions of the modulational instability of dust-acoustic waves and the formation of dust-acoustic rogue waves in a nonlinear and dispersive plasma medium. It is observed that the basic features of the dust-acoustic rogue waves (viz., amplitude and width) are significantly modified by the various plasma parameters such as nonextensivity of electrons and ions, electron number density, electron temperature, ion number density, ion temperature, the mass and number density of the dust grains, etc. The application of the results in space and laboratory opposite polarity dusty plasma is briefly discussed.

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ACKNOWLEDGMENTS

The authors would like to dedicate this article to the “Bangladesh Under-19 cricket team” for winning the “Under-19 Cricket World Cup” in 2020. D.M.S. Zaman and N.A. Chowdhury are thankful to the Bangladesh Ministry of Science and Technology for awarding the National Science and Technology (NST) Fellowship. A. Mannan thanks the Alexander von Humboldt Foundation for a Postdoctoral Fellowship.

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Authors and Affiliations

  1. Department of EEE, Green University of Bangladesh, Begum Rokeya Sarani, 1207, Dhaka, Bangladesh

    D. M. S. Zaman

  2. Department of Physics, Jahangirnagar University, 1342, Savar, Dhaka, Bangladesh

    A. Mannan, N. A. Chowdhury & A. A. Mamun

  3. Institut für Mathematik, Martin Luther Universität Halle-Wittenberg, Halle, Germany

    A. Mannan

  4. Wazed Miah Science Research Center, Jahangirnagar University, 1342, Savar, Dhaka, Bangladesh

    A. A. Mamun

Authors
  1. D. M. S. Zaman
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  2. A. Mannan
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  3. N. A. Chowdhury
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  4. A. A. Mamun
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Corresponding authors

Correspondence to D. M. S. Zaman or N. A. Chowdhury.

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Zaman, D.M., Mannan, A., Chowdhury, N.A. et al. Dust-Acoustic Rogue Waves in Opposite Polarity Dusty Plasma Featuring Nonextensive Statistics. High Temp 58, 789–794 (2020). https://doi.org/10.1134/S0018151X20360067

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