Skip to main content
SpringerLink
Log in

On: New optical soliton solutions for nonlinear complex fractional Schrödinger equation via new auxiliary equation method and novel (G\(^{\prime }/\)G)-expansion method

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

A comment on an article by Khater et al published in Pramana – J. Phys. 90: 59 (2018) is presented here. We represent two quotes on the article, the two quotes about the space-dependent fractional Schrödinger equation type and about one of the constants used by the authors.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. N Laskin, Chaos 10, 780 (2000), https://doi.org/10.1063/1.1050284

    Article  MathSciNet  ADS  Google Scholar 

  2. N Laskin, Chaos Solitons Fractals 102, 16 (2017), https://doi.org/10.1016/j.chaos.2017.04.010

    Article  MathSciNet  ADS  Google Scholar 

  3. N Laskin, Fractional quantum mechanics (World Scientific Publishing, 2018)

  4. N Laskin, Phys. Lett. A 268, 298 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  5. X Chang, J. Math. Phys. 54, 061504 (2013), https://doi.org/10.1063/1.4809933

    Article  MathSciNet  ADS  Google Scholar 

  6. Qun Liu, Fanhai Zeng and Changpin Li, Int. J. Comp. Math. 92, 1439 (2015), https://doi.org/10.1080/00207160.2014.945440

    Article  Google Scholar 

  7. Marwan Al-Raeei and M S El-Daher, Phys. Lett. A 383, 125831 (2019), https://doi.org/10.1016/j.physleta.2019.07.019

    Article  MathSciNet  Google Scholar 

  8. Hasan A Fallahgoul, Sergio M Focardi and Frank J Fabozzi, Fractional calculus and fractional processes with applications to financial economics (Elsevier, 2017)

  9. Mostafa M A Khater, Aly R Seadawy and D Lu, Pramana – J. Phys. 90: 59 (2018), https://doi.org/10.1007/s12043-018-1547-8

    Article  ADS  Google Scholar 

  10. Yong Zhou, Basic theory of fractional differential equations  (World Scientific Publishing, 2014)

  11. Marwan Al-Raeei and M S El-Daher, Chem. Phys. Lett.734, 136729 (2019), https://doi.org/10.1016/j.cplett.2019.136729

    Article  Google Scholar 

  12. A M Mathai and Hans J Haubold, Matrix methods and fractional calculus (World Scientific Publishing, 2017)

  13. R Hilfer, Applications of fractional calculus in physics (World Scientific Publishing, 2000)

  14. Yong Zhou, JinRong Wang and Lu Zhang, Basic theory of fractional differential equations (World Scientific Publishing, 2017)

  15. Marwan Al-Raeei and M S El-Daher, Pramana – J. Phys. 90: 60 (2018), https://doi.org/10.1007/s12043-018-1550-0

    Article  ADS  Google Scholar 

  16. Joydip Banerjee, Uttam Ghosh, Susmita Sarkar and Shantanu Das, Pramana – J. Phys. 88: 70 (2017), https://doi.org/10.1007/s12043-017-1368-1

    Article  ADS  Google Scholar 

  17. E Tala-Tebue, Z I Djoufack, E Fendzi-Donfack, A Kenfack-Jiotsa and T C Kofané, Optik127, 11124 (2016), https://doi.org/10.1016/j.ijleo.2016.08.116

    Article  ADS  Google Scholar 

  18. Yingying Xie, Z Yang and Lingfei Li, Phys. Lett. A 382, 2506 (2018), https://doi.org/10.1016/j.physleta.2018.06.023

    Article  MathSciNet  ADS  Google Scholar 

  19. Elsayed M E Zayed, Ayad M Shahoot and Khaled A E Alurrfi, Opt. Quant. Electron. 50, 96 (2018), https://doi.org/10.1007/s11082-018-1337-z

    Article  Google Scholar 

  20. Dahe Feng, Jianjun Jiao and Guirong Jiang, Phys. Lett. A 382, 2081 (2018), https://doi.org/10.1016/j.physleta.2018.05.028

    Article  MathSciNet  ADS  Google Scholar 

  21. I K Mylonas, C B Ward, P G Kevrekidis, V M Rothos and D J Frantzeskakis, Phys. Lett. A 381, 3965 (2017), https://doi.org/10.1016/j.physleta.2017.10.043

    Article  MathSciNet  ADS  Google Scholar 

  22. Hong Yu-Wu and Li Hong Jiang, Pramana – J. Phys. 89, 40 (2017), https://doi.org/10.1007/s12043-017-1438-04

    Article  Google Scholar 

  23. Wen Xiu Ma and Jyh-Hao Lee, Chaos Solitons Fractals 42, 1356 (2009), https://doi.org/10.1016/j.chaos.2009.03.043

    Article  MathSciNet  ADS  Google Scholar 

  24. Wen Xiu Ma, Tingwen Huang and Yi Zhang, Phys. Scr.82, 065003 (2010), https://doi.org/10.1088/0031-8949/82/06/065003

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, Damascus University, Damascus, Syria

    Marwan Al-Raeei

  2. Faculty of Informatics and Communications, Arab International University, Daraa, Syria

    Moustafa Sayem El-Daher

Authors
  1. Marwan Al-Raeei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Moustafa Sayem El-Daher
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Marwan Al-Raeei.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Al-Raeei, M., El-Daher, M.S. On: New optical soliton solutions for nonlinear complex fractional Schrödinger equation via new auxiliary equation method and novel (G\(^{\prime }/\)G)-expansion method. Pramana - J Phys 94, 9 (2020). https://doi.org/10.1007/s12043-019-1877-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12043-019-1877-1

Keywords

PACS Nos

Search

Navigation