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Modulational Instability, Ion-Acoustic Envelope Solitons, and Rogue Waves in Four-Component Plasmas

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Abstract

Modulational instability (MI) of ion-acoustic waves (IAWs) has been theoretically investigated in a plasma system which is composed of inertial warm adiabatic ions, isothermal positrons, and two-temperature super-thermal electrons (cool and hot). A nonlinear Schrödinger equation (NLSE) is derived by using reductive perturbation method that governs the MI of the IAWs. The numerical analysis of the solution of NLSE shows the existence of both stable (dark envelope solitons) and unstable (bright envelope solitons and rogue waves) regimes of IAWs. It is observed that the basic features (viz., stability of the wave profile and MI growth rate) of the IAWs are significantly modified by the superthermality of electrons and related plasma parameters. The results of our present investigation should be useful for understanding different nonlinear phenomena in both space (viz., Saturn’s magnetosphere and interplanetary medium) and laboratory plasmas (viz., hot-cathode discharge and high-intensity laser irradiation).

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REFERENCES

  1. M. Temerin, K. Cerny, W. Lotko, and F. S. Mozer, Phys. Rev. Lett. 48, 1175 (1982).

    Article  ADS  Google Scholar 

  2. R. E. Ergun, C. W. Carlson, J. P. McFadden, F. S. Mozer, G. T. Delory, W. Peria, C. C. Chaston, M. Temerin, R. Elphic, R. Strangeway, R. Pfa, C. A. Cattell, D. Klumpar, E. Shelley, W. Peterson, et al., Geophys. Res. Lett. 25, 2061 (1998).

    Article  ADS  Google Scholar 

  3. A. Panwar, C. M. Ryu, and A. S. Bains, Phys. Plasmas 21, 122105 (2014).

    Article  ADS  Google Scholar 

  4. F. C. Michel, Rev. Mod. Phys. 54, 1 (1982).

    Article  ADS  Google Scholar 

  5. M. Marklund and P. K. Shukla, Rev. Mod. Phys. 78, 591 (2006).

    Article  ADS  Google Scholar 

  6. T. K. Baluku and M. A. Hellberg, Phys. Plasmas 19, 012106 (2012).

    Article  ADS  Google Scholar 

  7. S. Sultana and I. Kourakis, Plasma Phys. Controlled Fusion 53, 045003 (2011).

    Article  ADS  Google Scholar 

  8. Shalini, N. S. Saini, and A. P. Misra, Phys. Plasmas 22, 092124 (2015).

    Article  ADS  Google Scholar 

  9. R. Sabry, W. M. Moslem, P. K. Shukla, and H. Saleem, Phys. Rev. E 79, 056402 (2009).

    Article  ADS  Google Scholar 

  10. V. M. Vasyliunas, J. Geophys. Res. 73, 2839 (1968).

    Article  ADS  Google Scholar 

  11. M. A. Hellberg and R. L. Mace, Phys. Plasmas 9, 1495 (2002).

    Article  ADS  Google Scholar 

  12. N. A. Chowdhury, A. Mannan, and A. A. Mamun, Phys. Plasmas 24, 113701 (2017).

    Article  ADS  Google Scholar 

  13. K. Estabrook and W. L. Kruer, Phys. Rev. Lett. 40, 42 (1978).

    Article  ADS  Google Scholar 

  14. B. N. Goswami and B. Buti, Phys. Lett. A 57, 149 (1976).

    Article  ADS  Google Scholar 

  15. M. Shahmansouri and H. Alinejad, Phys. Plasmas 20, 082130 (2013).

    Article  ADS  Google Scholar 

  16. M. A. Rehman and M. K. Mishra, Phys. Plasmas 23, 012302 (2016).

    Article  ADS  Google Scholar 

  17. S. V. Vladimirov, V. N. Tsytovich, S. I. Popel, and F. Kh. Khakimov, Modulational Interactions in Plasmas (Kluwer Academic, Dordrecht, 1995).

    Book  Google Scholar 

  18. A. A. Vedenov and L. I. Rudakov, Sov. Phys. Doklady 9, 1073 (1965).

    ADS  Google Scholar 

  19. A. K. Gailitis, Ph.D. Thesis (Lebedev Physical Institute, USSR Acad. Sci., Moscow, 1964).

  20. A. K. Gailitis, Izv. AN Latv. SSR: Phys. Tech. Nauki 4, 13 (1965).

    Google Scholar 

  21. H. Alinejad, M. Mahdavi, and M. Shahmansouri, Astrophys. Space Sci. 352, 571 (2014).

    Article  ADS  Google Scholar 

  22. M. Bacha, S. Boukhalfa, and M. Tribeche, Astrophys. Space Sci. 341, 591 (2012).

    Article  ADS  Google Scholar 

  23. R. Fedele, Phys. Scr. 65, 502 (2002).

    Article  ADS  Google Scholar 

  24. R. Fedele and H. Schamel, Eur. Phys. J. B 27, 313 (2002).

    Article  ADS  Google Scholar 

  25. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. E 80, 026601 (2009).

    Article  ADS  Google Scholar 

  26. N. A. Chowdhury, A. Mannan, M. M. Hasan, and A. A. Mamun, Chaos 27, 093105 (2017).

    Article  MathSciNet  ADS  Google Scholar 

  27. I. B. Bernstein, G. M. Greene, and M. D. Kruskal, Phys. Rev. 108, 546 (1957).

    Article  MathSciNet  ADS  Google Scholar 

  28. R. A. Cairns, A. A. Mamun, R. Bingham, R. Boström, R. O. Dendy, C. M. C. Nairn, and P. K. Shukla, Geophys. Res. Lett. 22, 2709 (1995).

    Article  ADS  Google Scholar 

  29. G. Lu, Y. Liu, Y. Wang, L. Stenflo, S. I. Popel, and M. Y. Yu, J. Plasma Phys. 76, 267 (2010).

    Article  ADS  Google Scholar 

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ACKNOWLEDGMENTS

The authors are grateful to the anonymous reviewer for his/her constructive suggestions which have significantly improved the quality of the manuscript. N.A. Chowdhury is thankful to all of his friends from “Physics 41 Batch, Jahangirnagar University” for their inspiration to complete this work.

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Authors and Affiliations

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

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

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  1. N. A. Chowdhury
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  2. A. Mannan
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  3. M. M. Hasan
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  4. A. A. Mamun
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Correspondence to N. A. Chowdhury.

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Chowdhury, N.A., Mannan, A., Hasan, M.M. et al. Modulational Instability, Ion-Acoustic Envelope Solitons, and Rogue Waves in Four-Component Plasmas. Plasma Phys. Rep. 45, 459–465 (2019). https://doi.org/10.1134/S1063780X19050027

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