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Effects of two-temperature electrons on the slow and fast modulation instability and envelope solitons in a fully relativistic plasma

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Abstract

In this paper, the effects of two-temperature electrons on the slow and fast modulation instability and envelope solitons of ion-acoustic waves have been theoretically studied in a fully relativistic plasma using the method of Fried and Ichikawa. The expression of the nonlinear Schrodinger equation in fully relativistic plasma has been derived and the condition for the existence of slow and fast modulation instability of ion-acoustic wave is obtained. From the nonlinear Schrodinger equation, the solutions for slow and fast envelope solitons in the fully relativistic plasma are also obtained. The profiles of the growth rate of modulation instability and envelope solitons are drawn and discussed taking different values of ion-stream velocity and density and temperature of two-temperature electrons. The results are applicable to the study of ion-acoustic envelope solitons both in weak- and ultra- relativistic plasma.

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References

  1. B Ghosh and S Banerjee J.Astrophys., Article ID 785670 (2014) https://doi.org/10.1155/2014/785670

  2. P Eslami, M Mottaghizadeh and H R Pakzad Can. J. Phys. 90 661 (2012)

    Article  ADS  Google Scholar 

  3. R S Tiwari and S R Sharma Phys. Lett. A 77 30 (1980)

    Article  ADS  Google Scholar 

  4. J K Chawla Space Sci. 347 283 (2013)

    Article  ADS  Google Scholar 

  5. I Kourakis and A Esfandyari Plasmas 13 052117 (2006)

    Article  ADS  Google Scholar 

  6. I Kourakis and P K Shukla IEEE Trans. Plasma Sci. 32 573 (2004)

    Article  ADS  Google Scholar 

  7. I Kourakis and P K Shukla Phys. Scripta 69 316 (2004)

    Article  ADS  Google Scholar 

  8. O Bouzit Plasmas 22 084506 (2015)

    Article  ADS  Google Scholar 

  9. G Murtaza and M Salahuddin Plasma Phys. 24 451 (1982)

    Article  ADS  Google Scholar 

  10. M K Mishra Rev. E 48 4642 (1993)

    Google Scholar 

  11. A S Sharma and B Buti Pramana 10 629 (1978)

    Article  ADS  Google Scholar 

  12. A Roychowdhury, K Roychowdhury and S N Paul IL Nuovo Cemento 13D 699 (1991)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

  15. S Chakraborty, G Pakira and A Roy Chowdhury IL Nuovo Cemento 15D 1043 (1993)

    Article  ADS  Google Scholar 

  16. S N Paul, A Roychowdhury, Indrani Paul and S Choudhuri Radiation Effect Defects Solids 176 (9&10) (2021); https://doi.org/10.1080/10420150.2021.1972112

  17. G C Das and S N Paul Phys. Fluids 28 823 (1985)

    Article  ADS  Google Scholar 

  18. K K Mondal IEEE Trans. Plasma Sci. 26 987 (1998)

    Article  ADS  Google Scholar 

  19. P Chatterjee Z. Naturforsch 59a 353 (2004)

  20. J N Han, S L Du and W S Duan Phys. Plasmas 15 112104 (2008)

    Article  ADS  Google Scholar 

  21. M G Hafez, M R Talukder and M Hossain Ali Phys. Plasmas 23(2016)

  22. Y Nejoh IEEE Trans. Plasma Sci. 20 80 (1992)

  23. B Ghosh and S Banerjee J. Plasma Phys. 81 905810308 (2015)

    Article  Google Scholar 

  24. B D Fried and Y H Ichikawa J. Phys. Soc. Japan 34 1073 (1973)

    Article  ADS  Google Scholar 

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There is no funding source for the preparation of the manuscript. No fund has been received for this work.

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Authors and Affiliations

  1. Department of Physics, Jadavpur University, Kolkata, 700032, India

    Indrani Paul & S. N. Paul

  2. East Kolkata Centre for Science Education and Research, P-1, B. P. Township, Kolkata, 700 094, India

    A. Chatterjee & S. N. Paul

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  1. Indrani Paul
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  2. A. Chatterjee
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  3. S. N. Paul
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Correspondence to S. N. Paul.

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Paul, I., Chatterjee, A. & Paul, S.N. Effects of two-temperature electrons on the slow and fast modulation instability and envelope solitons in a fully relativistic plasma. Indian J Phys 97, 4069–4081 (2023). https://doi.org/10.1007/s12648-023-02706-y

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  • DOI: https://doi.org/10.1007/s12648-023-02706-y

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