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Dynamics of ion-acoustic solitary waves in three-dimensional magnetized plasma with thermal ions and electrons: a pseudopotential analysis

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Abstract

The existence of both subsonic \((M < 1)\) and supersonic \((M > 1)\) compressive \((N > 1)\) solitons within a three-dimensional magnetized plasma model featuring thermal ions and electrons, incorporating electron inertia through the pseudopotential method is established. The study delves into ion-acoustic solitary waves, numerically exploring the dependency of the solitary wave profile on different plasma parameters. The findings suggest that, as the ion temperature \((\alpha )\) increases, both subsonic and supersonic potential profiles exhibit a decrease in amplitude and depth. Furthermore, the study investigates the influence of the Mach number on the potential profile. It reveals that as the Mach number increases in the direction of wave propagation, the amplitude and depth of the potential profile also increase. The findings not only enrich our understanding of the intricate dynamics of plasmas but also provide profound insights with broad applicability, encompassing natural and engineered plasma systems across diverse scientific and technological domains.

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References

  • Alinejad, H., Mamun, A.A.: Oblique propagation of electrostatic waves in a magnetized electron–positron–ion plasma with superthermal electrons. Phys. Plasmas 18, 112103–112109 (2011)

    Article  ADS  Google Scholar 

  • Bellahsene, Z., Aoutou, K., Bacha, M.: Nonlinear dynamics of ion-acoustic waves in a magnetized plasma with trapped electrons. IEEE Trans. Plasma Sci. 51, 1000–1008 (2023)

    Article  ADS  Google Scholar 

  • Biswas, A., Chakraborty, D., Pramanik, S., Ghosh, S.: Three dimensional wave group dynamics of ion acoustic waves in electron–positron–ion plasmas in the presence of an external uniform magnetic field. Phys. Plasmas 28, 062105–062112 (2021)

    Article  ADS  Google Scholar 

  • Chatterjee, P., Saha, T., Ryu, C.M.: Obliquely propagating ion acoustic solitary waves and double layers in a magnetized dusty plasma with anisotropic ion pressure. Phys. Plasmas 15, 123702–123709 (2008)

    Article  ADS  Google Scholar 

  • Dev, A.N., Deka, M.K., Kalita, R.K.: Effect of non-thermal electron and positron on the dust ion acoustic solitary wave in the presence of relativistic thermal magnetized ions. J. Sarma. Eur. Phys. J. plus 135, 843–854 (2020)

    Google Scholar 

  • Dubinov, A.E., Kolotkov, D.Y.: Ion-acoustic supersolitons in plasma. Plasma Phys. Rep. 38, 909–912 (2012a)

    Article  ADS  Google Scholar 

  • Dubinov, A.E., Kolotkov, D.Y.: Ion-Acoustic Super Solitary Waves in Dusty Multispecies Plasmas. IEEE Trans. Plasma Sci. 40, 1429–1433 (2012b)

    Article  ADS  Google Scholar 

  • El-Awady, E.I., El-Tantawy, S.A., Moslem, W.M., Shukla, P.K.: Electron–positron–ion plasma with kappa distribution: Ion acoustic soliton propagation. Phys. Lett. A 374, 3216–3219 (2010)

    Article  ADS  Google Scholar 

  • Esfandyari-Kalejahi, A., Kourakis, I., Mehdipoor, M., Shukla, P.K.: Electrostatic mode envelope excitations in e–p–i plasmas—application in warm pair ion plasmas with a small fraction of stationary ions. J. Phys. a: Math. Gen. 39, 13817–13830 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  • Esfandyari-Kalejahi, A., Mehdipoor, M., Akbari-Moghanjoughi, M.: Effects of positron density and temperature on ion-acoustic solitary waves in a magnetized electron–positron–ion plasma: oblique propagation. Phys. Plasmas 16, 052309–052314 (2009a)

    Article  ADS  Google Scholar 

  • Esfandyari-Kalejahi, A., Akbari-Moghanjoughi, M., Haddadpour-Khiaban, B.: Dressed electrostatic solitary excitations in three component pair-plasmas: application in isothermal pair-plasma with stationary ions. Phys. Plasmas 16, 102302–102310 (2009b)

    Article  ADS  Google Scholar 

  • Giambo, S., Pantano, P.: Three-dimensional ion-acoustic waves in a collisionless plasma. Lett. Nuovo Cimento 34, 380–384 (1982)

    Article  ADS  Google Scholar 

  • Herschkowitz, N., Romesser, T.: Observations of Ion-Acoustic Cylindrical Solitons. Phys. Rev. Lett. 32, 581–583 (1974)

    Article  ADS  Google Scholar 

  • Kalita, B.C., Kalita, M.K., Chutia, J.: Drifting effect of electrons on fully non-linear ion acoustic waves in a magnetoplasma. J. Phys. A Math. Gen. 19, 3559–3563 (1986)

    Article  ADS  Google Scholar 

  • Kalita, J., Das, R., Hosseini, K., Baleanu, D., Salahshour, S.: Solitons in magnetized plasma with electron inertia under weakly relativistic effect. Nonlinear Dyn. 111, 3701–3711 (2023)

    Article  Google Scholar 

  • Kamalam, T., Ghosh, S.S.: Ion acoustic super solitary waves in a magnetized plasma. Phys. Plasmas 25, 122302–122305 (2018)

    Article  ADS  Google Scholar 

  • Khalid, M., El-Tantawy, S.A., Rahman, A.U.: Oblique ion acoustic excitations in a magnetoplasma having κ-deformed Kaniadakis distributed electrons. Astrophys. Space Sci. 365, 75–83 (2020)

    Article  MathSciNet  ADS  Google Scholar 

  • Kumar, K., Mishra, M.K.: Large amplitude ion-acoustic solitons in warm negative ion plasmas with superthermal electrons. AIP Adv. 7, 115114–115127 (2017)

    Article  ADS  Google Scholar 

  • Lee, N.C., Choi, C.R.: Ion-acoustic solitary waves in a relativistic plasma. Phys. Plasmas 14, 022307–022313 (2007)

    Article  ADS  Google Scholar 

  • Madhukalya, B., Das, R., Hosseini, K., et al.: Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma. Nonlinear Dyn. 111, 8659–8671 (2023a)

    Article  Google Scholar 

  • Madhukalya, B., Das, R., Hosseini, K., et al.: Small amplitude ion-acoustic solitary waves in a magnetized ion-beam plasma under the effect of ion and beam temperatures. Eur. Phys. J. plus 138, 315–323 (2023b)

    Google Scholar 

  • Madhukalya, B., Das, R., Hosseini, K., et al.: Ion-Acoustic Solitons in Magnetized Plasma Under Weak Relativistic Effects on the Electrons. Int. J. Appl. Comput. Math. 9, 102–116 (2023c)

    Article  MathSciNet  Google Scholar 

  • Maharaj, S.K., Bharuthram, R., Singh, S.V., Lakhina, G.S.: Existence domains of dust-acoustic solitons and supersolitons. Phys. Plasmas 20, 083705–083713 (2013)

    Article  ADS  Google Scholar 

  • Mahmood, S., Akhtar, N.: Ion acoustic solitary waves with adiabatic ions in magnetized electron-positron-ion plasmas. Eur. Phys. J. D 49, 217–222 (2008)

    Article  ADS  Google Scholar 

  • Mahmood, S., Mushtaq, A., Saleem, H.: Ion acoustic solitary wave in homogeneous magnetized electron-positron-ion plasmas. New J. Phys. 5, 28–37 (2003)

    Article  ADS  Google Scholar 

  • Mahmood, M.A., Mahmood, S., Reza, A.M., Saleem, H.: Low frequency solitary waves in magnetized electron–positron–ion plasmas. Chin. Phys. Lett. 22, 632–635 (2005)

    Article  ADS  Google Scholar 

  • Maxon, S., Viecelli, J.: Spherical solitons. Phys. Rev. Lett. 32, 4–6 (1974a)

    Article  ADS  Google Scholar 

  • Maxon, S., Viecelli, J.: Cylindrical solitons. Phys. Fluids 17, 1614–1616 (1974b)

    Article  ADS  Google Scholar 

  • Mushtaq, A., Shah, H.A.: Nonlinear Zakharov–Kuznetsov equation for obliquely propagating two-dimensional ion-acoustic solitary waves in a relativistic, rotating magnetized electron–positron–ion plasma. Phys. Plasmas 12, 072306–072313 (2005)

    Article  ADS  Google Scholar 

  • Nejoh, Y.N.: Effects of positron density and temperature on large amplitude ion-acoustic waves in an electron–positron–ion plasma. Aust. J. Phys. 50, 309–317 (1997)

    Article  ADS  Google Scholar 

  • Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Ion-acoustic solitons in electron–positron–ion plasmas. Phys. Plasmas 2, 716–719 (1995)

    Article  ADS  Google Scholar 

  • Rouhani, M.R., Abbasi, Z.E.: Characteristics of ion acoustic solitary waves in a negative ion plasma with superthermal electrons. Phys. Plasmas 19, 112307–112313 (2012)

    Article  ADS  Google Scholar 

  • Sagdeev, R.Z. Reviews of Plasma Physics. In: Leontovich, M.A. (ed) Consultants Bureau, vol. 4, p. 23. New York (1966)

  • Salahuddin, M., Saleem, H., Saddiq, M.: Ion-acoustic envelope solitons in electron–positron–ion plasmas. Phys. Rev. E 66, 036407–036410 (2002)

    Article  ADS  Google Scholar 

  • Sultana, S., Kourakis, I., Saini, N.S., Hellberg, M.A.: Oblique electrostatic excitations in a magnetized plasma in the presence of excess superthermal electrons. Phys. Plasmas 17, 032310–032319 (2010)

    Article  ADS  Google Scholar 

  • Tiwari, R.S.: Ion-acoustic dressed solitons in electron–positron–ion plasmas. Phys. Lett. A 372, 3461–3466 (2008)

    Article  ADS  Google Scholar 

  • Tiwari, R.S., Kaushik, A., Mishra, M.K.: Effects of positron density and temperature on ion acoustic dressed solitons in an electron–positron–ion plasma. Phys. Lett. A 365, 335–340 (2007)

    Article  ADS  Google Scholar 

  • Utsinov, A.V.: “Supersoliton” excitations in inhomogeneous Josephson junctions. Phys. Lett. A 136, 155–162 (1989)

    Article  ADS  Google Scholar 

  • Verheest, F., Hellberg, M.A., Kourakis, I.: Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons. Phys. Rev. E 87, 043107–043116 (2013a)

    Article  ADS  Google Scholar 

  • Verheest, F., Hellberg, M.A., Kourakis, I.: Ion-acoustic supersolitons in plasmas with two-temperature electrons: Boltzmann and kappa distributions. Phys. Plasmas 20, 082309–082320 (2013b)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, Assam, 781014, India

    B. Madhukalya & J. Kalita

  2. Department of Mathematics, Arya Vidyapeeth College, Guwahati, Assam, 781016, India

    R. Das

  3. Department of Mathematics, Near East University TRNC, Mersin 10, Turkey

    K. Hosseini

  4. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    K. Hosseini & D. Baleanu

  5. Institute of Space Sciences-Subsidiary of INFLPR, Magurele-Bucharest, Romania

    D. Baleanu

  6. Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt

    M. S. Osman

  7. Mathematics Department, Faculty of Sciences, Umm AI-Qura University, Makkah 21955, Saudi Arabia

    M. S. Osman

Authors
  1. B. Madhukalya
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  2. J. Kalita
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  3. R. Das
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  4. K. Hosseini
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  5. D. Baleanu
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  6. M. S. Osman
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Contributions

B. Madhukalya: Writing—original draft, methodology, formal analysis; J. Kalita: Writing—original draft, methodology, formal analysis; R. Das: Writing—original draft, methodology; K. Hosseini: Writing—original draft, methodology, formal analysis; D. Baleanu: Writing—review and editing; M.S. Osman: Writing—review and editing.

Corresponding authors

Correspondence to K. Hosseini or M. S. Osman.

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Madhukalya, B., Kalita, J., Das, R. et al. Dynamics of ion-acoustic solitary waves in three-dimensional magnetized plasma with thermal ions and electrons: a pseudopotential analysis. Opt Quant Electron 56, 898 (2024). https://doi.org/10.1007/s11082-024-06737-5

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  • DOI: https://doi.org/10.1007/s11082-024-06737-5

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