Skip to main content
SpringerLink
Log in

Exact and numerical solutions for the nanosoliton of ionic waves propagating through microtubules in living cells

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

In this article, the Paul–Painleve approach (PPA) which was formulated recently and built on the balance role has been used perfectly to achieve new impressive solitary wave solutions to the nanosoliton of ionic waves (NSOIW) propagating along the microtubules in the living cells. In addition, variational iteration method (VIM) has been applied in the same vein and parallel to establish numerical solutions of this model.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. N A Kudryashov, Optik. 183, 642 (2019)

    Article  ADS  Google Scholar 

  2. H Fröhlich, Int. J. Quantum Chem. 2641, 153 (1968)

    Google Scholar 

  3. M V Sataric, J A Tuszyosky and R B Zakula, Phys. Rev. E 48, 589 (1993)

    Article  ADS  Google Scholar 

  4. M V Sataric and J A Tuszynski, J. Biol. Phys. 31, 487 (2005)

    Article  Google Scholar 

  5. M V Sataric, M Dragic and D Sejulic, Rom. Rep. Phys. 63, 624 (2011)

  6. A M Wazwaz, Appl. Math. Comput. 212, 120 (2009)

    MathSciNet  Google Scholar 

  7. S S Ray and A K Gupta, J. Math. Chem. 52, 1066 (2014)

    Article  MathSciNet  Google Scholar 

  8. S S Ray, Numer. Meth. Partial Diff. Eqs 37, 341 (2021)

    Article  Google Scholar 

  9. N Raza, M S Osman, A-H Abdel-Aty and H R Besbes, Adv. Diff. Eqs 2020, 517 (2020)

    Article  Google Scholar 

  10. N Raza, S Arshed and A Javid, Int. J. Nonlinear Sci. Numer. Simul. 21, 855 (2020)

    Article  MathSciNet  Google Scholar 

  11. Md A Kayum, S Ara, H K Barman and M Ali Akbar, Results Phys. 18, 103269 (2020)

  12. H K Barman, A R Seadawy, M Ali Akbar and D Baleanu, Results Phys. 17, 103131 (2020)

    Article  Google Scholar 

  13. H M E Zahran, World J. Nano Sci. Eng. 5, 78 (2015)

    Article  ADS  Google Scholar 

  14. H M E Zahran, Adv. Nanopart. 4, 25 (2015)

    Article  Google Scholar 

  15. A H Abdel Aty, M A Khater, R A M Attia and H Eleuch, Mathematics 8, 697 (2020)

Download references

Author information

Authors and Affiliations

  1. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey

    Ahmet Bekir

  2. Departments of Mathematical and Physical Engineering, Faculty of Engineering, Benha University, Shubra, Egypt

    Emad H M Zahran

Authors
  1. Ahmet Bekir
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Emad H M Zahran
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ahmet Bekir.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bekir, A., Zahran, E.H.M. Exact and numerical solutions for the nanosoliton of ionic waves propagating through microtubules in living cells. Pramana - J Phys 95, 158 (2021). https://doi.org/10.1007/s12043-021-02177-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12043-021-02177-y

Keywords

PACS Nos

Search

Navigation