Advertisement

Pramana

, 93:13 | Cite as

Comment on “New optical soliton solutions for nonlinear complex fractional Schrödinger equation via new auxiliary equation method and novel \(({\hbox {G}}^{\prime }/{\hbox {G}})\)-expansion method”

  • Shoukry El-GanainiEmail author
  • Elsayed M E Zayed
Article
  • 80 Downloads

Abstract

This comment deals with the new auxiliary equation method (Khater method) introduced by Mostafa M A Khater, Aly R Seadawy and Dianchen Lu in Pramana – J. Phys. 90, 59 (2018). By simple calculation, it is shown that this method is wrong. The exact solutions obtained in this paper are also wrong. In this comment, the errors in the above paper are pointed out and modified. The right method (amended Khater method) has been introduced.

Keywords

Doubtful Khater method amended Khater method doubtful exact solutions 

PACS Nos

02.30.Jr 02.30.Hq 04.20.Jb 

Notes

Acknowledgements

The authors would like to thank the referees of this paper for their interesting comments. Also, they would like to thank the reviewer who suggested the interesting kind of exact solutions mentioned in §4, which will help them to apply it in forthcoming papers. The authors of the papers [1, 2, 3, 4, 5, 6, 7] should be happy and thankful because the serious errors in their papers are discovered and modified.

References

  1. 1.
    M M A Khater, A R Seadawy and D Lu, Pramana – J. Phys. 90: 59 (2018)ADSCrossRefGoogle Scholar
  2. 2.
    M M A Khater, A R Seadawy and D Lu, Results Phys. 7, 2325 (2017)ADSCrossRefGoogle Scholar
  3. 3.
    S Bibi, S T Mohyud-Din, U Khan and N Ahmed, Results Phys. 7, 4440 (2017)ADSCrossRefGoogle Scholar
  4. 4.
    M M A Khater, A R Seadawy and D Lu, Superlattices Microstruct. 113, 346 (2018)ADSCrossRefGoogle Scholar
  5. 5.
    M M A Khater, A R Seadawy and D Lu, Optik 158, 434 (2018)ADSCrossRefGoogle Scholar
  6. 6.
    D Lu, A R Seadawy and M M A Khater, Optik 164, 54 (2018)ADSCrossRefGoogle Scholar
  7. 7.
    M M A Khater, A R Seadawy and D Lu, Opt. Quantum Electron. 50, 155 (2018)CrossRefGoogle Scholar
  8. 8.
    E M E Zayed and A-G Al-Nowehy, Superlattices Microstruct. 123, 94 (2018)ADSCrossRefGoogle Scholar
  9. 9.
    E M E Zayed, A-G Al-Nowehy, S El-Ganaini and R M A Shohib, Results Phys. 9, 1436 (2018)ADSCrossRefGoogle Scholar
  10. 10.
    E M E Zayed, S El-Ganaini, A-G Al-Nowehy and M E M Alngar, Optik 170, 339 (2018)ADSCrossRefGoogle Scholar
  11. 11.
    A R Seadawy, D Lu and M M A Khater, Superlattices Microstruct. 123, 460 (2018)ADSCrossRefGoogle Scholar
  12. 12.
    E M E Zayed, A-G Al-Nowehy, M E M Alngar and R M A Shohib, Superlattices Microstruct. 120, 262 (2018)ADSCrossRefGoogle Scholar
  13. 13.
    S D Zhu, Chaos Solitons Fractals 37, 1335 (2008)ADSMathSciNetCrossRefGoogle Scholar
  14. 14.
    W X Ma and B Fuchssteiner, Int. J. Non-Linear Mech. 31, 329 (1996)CrossRefGoogle Scholar
  15. 15.
    W X Ma and J H Lee, Chaos Solitons Fractals 42, 1356 (2009)ADSMathSciNetCrossRefGoogle Scholar
  16. 16.
    W X Ma and Y Zhou, J. Differ. Equ. 264, 2633 (2018)ADSCrossRefGoogle Scholar
  17. 17.
    S T Chen and W X Ma, Front. Math. China 13, 525 (2018)Google Scholar
  18. 18.
    J Zhang and W X Ma, Comput. Math. Appl. 74, 591 (2017)MathSciNetCrossRefGoogle Scholar
  19. 19.
    H Zhao and W X Ma, Comput. Math. Appl. 74, 1399 (2017)MathSciNetCrossRefGoogle Scholar
  20. 20.
    W X Ma, X Yong and H Q Zhang, Comput. Math. Appl. 75, 289 (2018)MathSciNetCrossRefGoogle Scholar
  21. 21.
    J Y Yang, W X Ma and Z Qin, Anal. Math. Phys. 8, 427 (2018)Google Scholar
  22. 22.
    M Matinfar, M Eslami and M Kordy, Pramana – J. Phys. 85, 593 (2015)ADSCrossRefGoogle Scholar
  23. 23.
    A Mishra, R S Kaushal and A Prasad, Pramana – J. Phys. 86, 1043 (2016)ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceDamanhour UniversityBahiraEgypt
  2. 2.Mathematics Department, Faculty of ScienceZagazig UniversityZagazigEgypt

Personalised recommendations