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Dynamical Aspects of Ion-Acoustic Solitary Waves in a Magnetically Confined Plasma in the Presence of Nonthermal Components

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Nonlinear Dynamics and Applications

Abstract

The characteristics of three-dimensional ion-acoustic solitary waves (IASWs) have been investigated in a magnetized plasma including ions, nonthermaly dispersed electrons and positrons. The reductive perturbation technique (RPT) is used to develop the Zakharov–Kuznetsov (ZK) equation for observing ion-acoustic wave structure, and a soliton solution is obtained by using the tangent hyperbolic (tanh) method. The influence of various parameters on the soliton profile, such as nonthermal parameters for electrons and positrons, density ratios of positron–electron and ion–electron, and temperature ratio of electron–positron, is presented graphically.

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References

  1. Kamalam, T., Ghosh, S.S.: Ion acoustic super solitary waves in a magnetized plasma. Phys. Plasmas 25, 122302 (2018)

    Article  ADS  Google Scholar 

  2. Salmanpoor, H., Sharifian, M., Gholipour, S., Zarandi, M.B., Shokri, B.: Oblique propagation of solitary waves in weakly relativistic magnetized plasma with kappa distributed electrons in the presence of negative ions. Phys. Plasmas 25, 032102 (2018)

    Article  ADS  Google Scholar 

  3. Sultana, S., Islam, S., Mamun, A.A., Schlickeiser, R.: Oblique propagation of ion-acoustic solitary waves in a magnetized plasma with electrons following a generalized distribution function. Phys. Plasmas 26, 012107 (2019)

    Article  ADS  Google Scholar 

  4. Debnath, D., Bandyopadhyay, A., Das, K.P.: Ion acoustic solitary structures in a magnetized nonthermal dusty plasma. Phys. Plasmas 25, 033704 (2018)

    Article  ADS  Google Scholar 

  5. Washimi, H., Taniuti, T.: Propagation of ion-acoustic solitary waves of small amplitude. Phys. Rev. Lett. 17, 996 (1996)

    Article  ADS  Google Scholar 

  6. Obregon, M.A., Stepanyants, Y.A.: Oblique magneto-acoustic solitons in a rotating plasma. Phys. Lett. A 249, 315–323 (1998)

    Article  ADS  Google Scholar 

  7. Mamun, A.A., Shukla, P.K.: Spherical and cylindrical dust acoustic solitary waves. Phys. Lett. A 290, 173–175 (2001)

    Article  ADS  Google Scholar 

  8. Huang, G., Velarde, M.G.: Head-on collision of two concentric cylindrical ion acoustic solitary waves. Phys. Rev. E 53, 2988–2991 (1996)

    Article  ADS  Google Scholar 

  9. Schuck, P.W., Bonnell, J.W., Pincon, J.-L.: Properties of lower hybrid solitary structures: a comparison between space observations, a laboratory experiment, and the cold homogeneous plasma dispersion relation. J. Geophys. Res. 109, A01310 (2004)

    ADS  Google Scholar 

  10. El-Labany, S.K., Sabry, R., El-Taibany, W.F., Elghmaz, E.A.: Propagation of three-dimensional ion-acoustic solitary waves in magnetized negative ion plasmas with nonthermal electrons. Phys. Plasmas 17, 042301 (2010)

    Article  ADS  Google Scholar 

  11. Seadawy, A.R.: Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in a magnetized plasma. Comput. Math. Appl. 71, 201–212 (2016)

    Article  MathSciNet  Google Scholar 

  12. Biswas, A., Zerrad, E.: Solitary wave solution of the Zakharov-Kuznetsov equation in plasmas with power law nonlinearity. Nonlinear Anal. RWA 11, 3272–3274 (2010)

    Article  MathSciNet  Google Scholar 

  13. Li, B., Chen, Y., Zhang, H.: Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation. Appl. Math. Comput. 146, 653–666 (2003)

    MathSciNet  MATH  Google Scholar 

  14. El-Taibany, W.F., El-Bedwehy, N.A., El-Shamy, E.F.: Three-dimensional stability of dust-ion acoustic solitary waves in a magnetized multicomponent dusty plasma with negative ions. Phys. Plasmas 18, 033703 (2011)

    Article  ADS  Google Scholar 

  15. Mandi, L., Mondal, K.K., Chatterjee, P.: Analytical solitary wave solution of the dust ion acoustic waves for the damped forced modified Korteweg-de Vries equation in q-nonextensive plasmas. Eur. Phys. J. Special Topics 228, 2753–2768 (2019)

    Article  ADS  Google Scholar 

  16. Pakzad, H.R.: Ion acoustic solitary waves in plasma with nonthermal electron and positron. Phys. Lett. A 373, 847–850 (2009)

    Article  ADS  Google Scholar 

  17. Dev, A.N., Deka, M.K., Kalita, R.K., Sarma, J.: Effect of non-thermal electron and positron on the dust ion acoustic solitary wave in the presence of relativistic thermal magnetized ions. Eur. Phys. J. Plus 135, 843 (2020)

    Article  Google Scholar 

  18. Chawla, J.K., Singhadiya, P.C., Tiwari, R.S.: Ion-acoustic waves in magnetised plasma with nonthermal electrons and positrons. Pramana J. Phys. 94, 13 (2020)

    Google Scholar 

  19. Seadawy, A.R., Lu, D.: Ion acoustic solitary wave solutions of three-dimensional nonlinear extended Zakharov-Kuznetsov dynamical equation in a magnetized two-ion-temperature dusty plasma. Results Phys. 6, 590–593 (2016)

    Article  ADS  Google Scholar 

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Correspondence to Jintu Ozah .

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Ozah, J., Deka, P.N. (2022). Dynamical Aspects of Ion-Acoustic Solitary Waves in a Magnetically Confined Plasma in the Presence of Nonthermal Components. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_22

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