Skip to main content
Log in

Investigation of various travelling wave solutions to the extended (2+1)-dimensional quantum ZK equation

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

In this paper, with the aid of the Wolfram Mathematica 9 program, we obtain some novel complex hyperbolic function solutions to the extended (2+1)-dimensional quantum Zakharov-Kuznetsov equation by using the sine-Gordon expansion method. We find some complex and hyperbolic function solutions. Subsequently, we plot 2D surfaces representing the obtained solutions by considering some suitable values of the parameters. At the end of this paper, we compare our results with the existing results in the literature by presenting comprehensive conclusions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.F. El-Sabbagh, R. Zait, R.M. Abdelazeem, J. Math. 10, 61 (2014)

    Google Scholar 

  2. N. Kadkhoda, H. Jafari, Iran. J. Numer. Anal. Optim. 6, 43 (2016)

    Google Scholar 

  3. P.N. Ryabov, D.I. Sinelshchikov, M.B. Kochanov, Appl. Math. Comput. 218, 3965 (2011)

    MathSciNet  Google Scholar 

  4. M.S. Islam, K. Khan, A.H. Arnous, New Trends Math. Sci. 3, 46 (2015)

    MathSciNet  Google Scholar 

  5. E.M.E. Zayed, G.M. Moatimid, A. Al-Nowehy, Sci. J. Math. Res. 5, 19 (2015)

    Google Scholar 

  6. H. Bulut, H.M. Baskonus, E. Cuvelek, Math. Lett. 1, 10 (2015)

    Google Scholar 

  7. E.J. Parkes, B.R. Duffy, P.C. Abbott, Phys. Lett. A 295, 280 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  8. A.H. Bhrawy, M.M. Tharwat, A. Yildirim, M.A. Abdelkawy, Indian J. Phys. 869, 1107 (2012)

    Article  ADS  Google Scholar 

  9. T.A. Nofal, J. Egypt. Math. Soc. 24, 204 (2016)

    Article  Google Scholar 

  10. M. Younis, A. Zafar, Int. J. Innov. Appl. Stud. 2, 661 (2013)

    Google Scholar 

  11. E.M.E. Zayed, J. Math. Res. Appl. 2, 5 (2014)

    Google Scholar 

  12. J. Akter, M.A. Akbar, New Trends Math. Sci. 4, 12 (2016)

    Article  Google Scholar 

  13. J. He, X. Wu, Chaos, Solitons Fractals 30, 700 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  14. S.T. Mohyud-Din, M.A. Noor, K.I. Noor, J. King Saud Univ. (Science) 22, 213 (2010)

    Article  Google Scholar 

  15. E.M.E. Zayed, H.M. Abdel-Rahman, Appl. Math. E-Notes 10, 235 (2010)

    MathSciNet  Google Scholar 

  16. A. Hendi, Int. J. Recent Res. Appl. Stud. 3, 83 (2010)

    Google Scholar 

  17. M. Eslami, Computat. Methods Differ. Equ. 2, 115 (2014)

    Google Scholar 

  18. A.M. Wazwaz, J. Math. Phys. 16, 1212 (1977)

    Google Scholar 

  19. H.M. Baskonus, D. Altankoc, H. Bulut, Nonlinear Sci. Lett. A 7, 67 (2016)

    Google Scholar 

  20. M.F. Aghdaei, J. Manafianheris, J. Math. Ext. 5, 91 (2011)

    MathSciNet  Google Scholar 

  21. D.J. Evans, K.R. Raslan, Int. J. Comput. Math. 82, 897 (2005)

    Article  MathSciNet  Google Scholar 

  22. Y. Xu, K. Sun, S. He, L. Zhang, Eur. Phys. J. Plus 131, 186 (2016)

    Article  Google Scholar 

  23. L. Zhang, K. Sun, S. He, H. Wang, Y. Xu, Eur. Phys. J. Plus 132, 31 (2017)

    Article  ADS  Google Scholar 

  24. X.J. Yang, F. Gao, H.M. Srivastava, Comput. Math. Appl. 73, 203 (2017)

    Article  MathSciNet  Google Scholar 

  25. A. Atangana, J.F. Botha, J. Earth Sci. Clim. Chang. 3, 115 (2012)

    Article  Google Scholar 

  26. A. Atangana, B.S.T. Alkahtani, Arab. J. Geosci. 9, 8 (2015)

    Article  Google Scholar 

  27. V.E. Zakharov, E.A. Kuznetsov, Zh. Eksp. Teor. Fiz. 66, 594 (1974)

    ADS  Google Scholar 

  28. Y. Jiang, Y. Lu, C. Chen, J. Nonlinear Math. Phys. 23, 157 (2016)

    Article  MathSciNet  Google Scholar 

  29. G. Wang, T. Xu, S. Johnson, A. Biswas, Astrophys. Space Sci. 349, 317 (2014)

    Article  ADS  Google Scholar 

  30. L.G. Garcia, F. Haas, L.P.L. de Oliveira, J. Goedert, Phys. Plasmas 12, 012302 (2005)

    Article  ADS  Google Scholar 

  31. S. Ghebache, M. Tribeche, Open Acoust. J. 3, 40 (2013)

    Article  ADS  Google Scholar 

  32. W.M. Moslem, S. Ali, P.K. Shukla, X.Y. Tang, Phys. Plasmas 14, 082308 (2007)

    Article  ADS  Google Scholar 

  33. H. Zhen, B. Tian, Y. Wang, H. Zhong, W. Sun, Phys. Plasmas 21, 012304 (2014)

    Article  ADS  Google Scholar 

  34. S. Ali, W.M. Moslem, P.K. Shukla, I. Kourakis, Phys. Lett. A 366, 606 (2007)

    Article  ADS  Google Scholar 

  35. C. Yan, Phys. Lett. A 22, 77 (1996)

    Article  ADS  Google Scholar 

  36. H.M. Baskonus, Nonlinear Dyn. 86, 177 (2016)

    Article  MathSciNet  Google Scholar 

  37. H. Bulut, T.A. Sulaiman, H.M. Baskonus, Opt. Quantum Electron. 48, 564 (2016)

    Article  Google Scholar 

  38. H.M. Baskonus, T.A. Sulaiman, H. Bulut, Optik 131, 1036 (2017)

    Article  ADS  Google Scholar 

  39. Z. Yan, H. Zhang, Phys. Lett. A 252, 291 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  40. A.M. Wazwaz, Phys. Scr. 85, 025006 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haci Mehmet Baskonus.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Baskonus, H.M., Bulut, H. & Sulaiman, T.A. Investigation of various travelling wave solutions to the extended (2+1)-dimensional quantum ZK equation. Eur. Phys. J. Plus 132, 482 (2017). https://doi.org/10.1140/epjp/i2017-11778-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2017-11778-y

Navigation