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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”

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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.

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References

  1. M M A Khater, A R Seadawy and D Lu, Pramana – J. Phys. 90: 59 (2018)

    Article  ADS  Google Scholar 

  2. M M A Khater, A R Seadawy and D Lu, Results Phys. 7, 2325 (2017)

    Article  ADS  Google Scholar 

  3. S Bibi, S T Mohyud-Din, U Khan and N Ahmed, Results Phys. 7, 4440 (2017)

    Article  ADS  Google Scholar 

  4. M M A Khater, A R Seadawy and D Lu, Superlattices Microstruct. 113, 346 (2018)

    Article  ADS  Google Scholar 

  5. M M A Khater, A R Seadawy and D Lu, Optik 158, 434 (2018)

    Article  ADS  Google Scholar 

  6. D Lu, A R Seadawy and M M A Khater, Optik 164, 54 (2018)

    Article  ADS  Google Scholar 

  7. M M A Khater, A R Seadawy and D Lu, Opt. Quantum Electron. 50, 155 (2018)

    Article  Google Scholar 

  8. E M E Zayed and A-G Al-Nowehy, Superlattices Microstruct. 123, 94 (2018)

    Article  ADS  Google Scholar 

  9. E M E Zayed, A-G Al-Nowehy, S El-Ganaini and R M A Shohib, Results Phys. 9, 1436 (2018)

    Article  ADS  Google Scholar 

  10. E M E Zayed, S El-Ganaini, A-G Al-Nowehy and M E M Alngar, Optik 170, 339 (2018)

    Article  ADS  Google Scholar 

  11. A R Seadawy, D Lu and M M A Khater, Superlattices Microstruct. 123, 460 (2018)

    Article  ADS  Google Scholar 

  12. E M E Zayed, A-G Al-Nowehy, M E M Alngar and R M A Shohib, Superlattices Microstruct. 120, 262 (2018)

    Article  ADS  Google Scholar 

  13. S D Zhu, Chaos Solitons Fractals 37, 1335 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  14. W X Ma and B Fuchssteiner, Int. J. Non-Linear Mech. 31, 329 (1996)

    Article  Google Scholar 

  15. W X Ma and J H Lee, Chaos Solitons Fractals 42, 1356 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  16. W X Ma and Y Zhou, J. Differ. Equ. 264, 2633 (2018)

    Article  ADS  Google Scholar 

  17. S T Chen and W X Ma, Front. Math. China 13, 525 (2018)

  18. J Zhang and W X Ma, Comput. Math. Appl. 74, 591 (2017)

    Article  MathSciNet  Google Scholar 

  19. H Zhao and W X Ma, Comput. Math. Appl. 74, 1399 (2017)

    Article  MathSciNet  Google Scholar 

  20. W X Ma, X Yong and H Q Zhang, Comput. Math. Appl. 75, 289 (2018)

    Article  MathSciNet  Google Scholar 

  21. J Y Yang, W X Ma and Z Qin, Anal. Math. Phys. 8, 427 (2018)

  22. M Matinfar, M Eslami and M Kordy, Pramana – J. Phys. 85, 593 (2015)

    Article  ADS  Google Scholar 

  23. A Mishra, R S Kaushal and A Prasad, Pramana – J. Phys. 86, 1043 (2016)

    Article  ADS  Google Scholar 

Download references

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Damanhour University, Bahira,  22514, Egypt

    Shoukry El-Ganaini

  2. Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

    Elsayed M E Zayed

Authors
  1. Shoukry El-Ganaini
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  2. Elsayed M E Zayed
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Correspondence to Shoukry El-Ganaini.

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El-Ganaini, S., Zayed, E.M.E. 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”. Pramana - J Phys 93, 13 (2019). https://doi.org/10.1007/s12043-019-1776-5

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  • DOI: https://doi.org/10.1007/s12043-019-1776-5

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