Astrophysics and Space Science

, Volume 355, Issue 1, pp 89–94 | Cite as

Nonplanar ion-acoustic two-soliton systems in quantum electron–positron–ion plasmas

  • Pankaj Kumar Mandal
  • Malay Kumar Ghorui
  • Asit Saha
  • Prasanta Chatterjee
Original Article

Abstract

The basic features of planar and nonplanar time dependent ion-acoustic two-soliton systems have been studied in a three component unmagnetized, collisionless quantum plasma consisting of inertialess electrons and positrons. Using the reductive perturbation technique (RPT), we have derived the Korteweg–de Vries equation for our model. The effects of several parameters on the properties of ion-acoustic two-soliton systems in quantum electron–positron–ion plasmas have been discussed in planar and nonplanar geometries. It has been shown that the properties of ion-acoustic two-soliton systems are affected significantly due to cylindrical and spherical geometries. The amplitude of the cylindrical two-soliton system is smaller than that of the spherical two-soliton system for small values of |τ|. The propagation of ion-acoustic two-soliton systems is quite different from the propagation of ion-acoustic two-soliton systems in a nonplanar geometry. The present investigation may have relevance in the study of the propagation of ion-acoustic two-soliton systems in space and laboratory plasmas.

Keywords

Ion-acoustic wave e–p–i plasma RPT Quantum plasma Nonplanar geometry 

Notes

Acknowledgements

The authors are sincerely grateful to the reviewer for his useful suggestions and comments, which helped to improve the paper. This work is partially supported by DST, India under (D.O. no: SR/S2/HEP-32/2012).

References

  1. Abrahams, E., Kravchenko, S.V., Sarachik, M.P.: Rev. Mod. Phys. 73, 251 (2001)ADSCrossRefGoogle Scholar
  2. Ali, S., Shukla, P.K.: Phys. Plasmas 13, 022313 (2006)ADSCrossRefGoogle Scholar
  3. Ali, S., Moslem, W.M., Shukla, P.K., Schlickeiser, R.: Phys. Plasmas 14, 082307 (2007)ADSCrossRefGoogle Scholar
  4. Ang, L.K., Zhang, P.K.: Phys. Rev. Lett. 98, 164802 (2007)ADSCrossRefGoogle Scholar
  5. Barnes, W.L., Dereux, A., Ebbesen, T.W.: Nature 424, 824 (2003)ADSCrossRefGoogle Scholar
  6. Becker, K.H., Schoenbach, K.H., Eden, J.G.: J. Phys. D 39, R55 (2006)ADSCrossRefGoogle Scholar
  7. Beskin, V.S., Gurevich, V., Istomin, Y.N.: Physics of the Pulsar Magnetosphere. Cambridge University Press, Cambridge (1993)MATHGoogle Scholar
  8. Bonitz, M., Binder, R., Scott, D.C., Koch, S.W., Kremp, D.: Phys. Rev. E 49, 5535 (1994)ADSCrossRefGoogle Scholar
  9. Carrasco, S., Polyakov, S., Kim, H., Jankovic, L., Stegeman, G.I.: Phys. Rev. E 67, 046616 (2003)ADSCrossRefGoogle Scholar
  10. Chabrier, G., Sauma, D., Potekhin, A.Y.: J. Phys. A, Math. Gen. 39, 4411 (2006)ADSCrossRefGoogle Scholar
  11. Chatterjee, P., Roy, K., Mondal, G., Muniandy, S.V., Yap, S.L.: Phys. Plasmas 16, 122112 (2009)ADSCrossRefGoogle Scholar
  12. Drazin, P.G., Johnson, R.S.: Solitons, An Introduction. Cambridge University Press, Cambridge (1993)MATHGoogle Scholar
  13. Fortney, J.J., Glenzer, S.H., Koenig, M., Militzer, B., Saumon, D., Valencia, D.: Phys. Plasmas 16, 041003 (2009)ADSCrossRefGoogle Scholar
  14. Ghorui, M.K., Samanta, U.K., Chatterjee, P.: Astrophys. Space Sci. 345, 273 (2013)ADSCrossRefGoogle Scholar
  15. Ghosh, D.K., Chatterjee, P., Sahu, B.: Astrophys. Space Sci. (2012a). doi: 10.1007/s10509-012-1112-8
  16. Ghosh, U.N., Ghosh, D.K., Chatterjee, P., Sahu, B.: Astrophys. Space Sci. (2012b). doi: 10.1007/s10509-012b-1195-2
  17. Ghosh, U.N., Ghosh, D.K., Chatterjee, P., Bacha, M., Tribeche, M.: Astrophys. Space Sci. 343, 265 (2013)ADSCrossRefGoogle Scholar
  18. Haas, F., Garcia, L.G., Goedert, J., Manfredi, G.: Phys. Plasmas 10, 3858 (2003)ADSCrossRefGoogle Scholar
  19. Han, J.N., Luo, J.H., Li, J.X.: Astrophys. Space Sci. 349, 305 (2014)ADSCrossRefGoogle Scholar
  20. Harding, A.K., Lai, D.: Phys. Rep. 69, 2631 (2006)CrossRefGoogle Scholar
  21. Jehan, N., Masood, W., Mirza, A.M.: Phys. Scr. 80, 035506 (2009)ADSCrossRefGoogle Scholar
  22. Kremp, D., Bornath, T., Bonitz, M., Schlanges, M.: Phys. Rev. E 60, 4725 (1999)ADSCrossRefGoogle Scholar
  23. Mahmood, S., Mushtaq, A., Saleem, H.: New J. Phys. 5, 28.1 (2003)CrossRefGoogle Scholar
  24. Masood, W., Mirza, A.M.: Astrophys. Space Sci. 342, 443 (2012)ADSCrossRefGoogle Scholar
  25. Masood, W., Mirza, A.M., Hanif, M.: Phys. Plasmas 15, 072106 (2008)ADSCrossRefGoogle Scholar
  26. Masood, W., Siddiq, M., Nargis, S., Mirza, A.M.: Phys. Plasmas 16, 013705 (2009)ADSCrossRefGoogle Scholar
  27. Mirza, A.M., Mahmood, S., Jehan, N., Ali, N.: Phys. Scr. 75, 755 (2007)ADSCrossRefGoogle Scholar
  28. Nejoh, Y.N.: Phys. Plasmas 3, 1447 (1996)ADSCrossRefGoogle Scholar
  29. Rahman, M.M., Alam, M.S., Mamun, A.A.: Astrophys. Space Sci. 352, 193 (2014)ADSCrossRefGoogle Scholar
  30. Rasheed, A., Murtaza, G., Tsintsadze, N.L.: Phys. Rev. E 82, 016403 (2010)ADSCrossRefGoogle Scholar
  31. Rouhani, M.R., Mohmnadi, Z., Akbarian, A.: Astrophys. Space Sci. 349, 265 (2014)ADSCrossRefGoogle Scholar
  32. Roy, K., Maji, T.K., Ghorui, M.K., Chatterjee, P., Roychoudhury, R.: Astrophys. Space Sci. 352, 151 (2014)ADSCrossRefGoogle Scholar
  33. Sabry, R., El-Labany, S.K., Shukla, P.K.: Phys. Plasmas 15, 1–22310 (2008)Google Scholar
  34. Saeed, R., Shah, A.: Phys. Plasmas 17, 032308 (2010)ADSCrossRefGoogle Scholar
  35. Saha, A., Chatterjee, P.: Astrophys. Space Sci. 353, 169 (2014)ADSCrossRefGoogle Scholar
  36. Sahu, B.: Europhys. Lett. 101, 55002 (2013a)ADSCrossRefGoogle Scholar
  37. Sahu, B., Roychoudhury, R.: Phys. Plasmas 10, 4162 (2003)ADSCrossRefGoogle Scholar
  38. Sahu, B., Roychoudhury, R.: Phys. Plasmas 10, 4871 (2004)ADSCrossRefGoogle Scholar
  39. Sahu, B., Roychoudhury, R.: Phys. Plasmas 12, 052106 (2005)ADSCrossRefGoogle Scholar
  40. Sahu, B., Roychoudhury, R.: Phys. Plasmas 14, 072310 (2007a)ADSMathSciNetCrossRefGoogle Scholar
  41. Sahu, B., Roychoudhury, R.: Phys. Plasmas 14, 012304 (2007b)ADSCrossRefGoogle Scholar
  42. Sahu, B., Roychoudhury, R.: Astrophys. Space Sci. 345, 91 (2013b)ADSCrossRefGoogle Scholar
  43. Serbeto, A., Mendonca, J.T., Tsui, K.H., Bonifacio, R.: Phys. Plasmas 15, 013110 (2008)ADSCrossRefGoogle Scholar
  44. Shpatakovskaya, G.V.: Zh. Eksp. Teor. Fiz. 129, 533 (2006)Google Scholar
  45. Shukla, P.K., Eliasson, B.: Phys. Rev. Lett. 96, 245001 (2006)ADSCrossRefGoogle Scholar
  46. Tiwari, R.S., Kaushik, A., Mishra, M.K.: Phys. Lett. A 365, 335 (2007)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Pankaj Kumar Mandal
    • 1
  • Malay Kumar Ghorui
    • 1
    • 2
  • Asit Saha
    • 1
    • 3
  • Prasanta Chatterjee
    • 1
  1. 1.Department of Mathematics, Siksha BhavanaVisva Bharati UniversitySantiniketanIndia
  2. 2.Department of MathematicsB.B. CollegeAsansolIndia
  3. 3.Department of MathematicsSikkim Manipal Institute of TechnologyRangpoIndia

Personalised recommendations