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, access via your institution.
Buy single article
Instant access to the full article PDF.
Price excludes VAT (USA)
Tax calculation will be finalised during checkout.
N A Kudryashov, Optik. 183, 642 (2019)
H Fröhlich, Int. J. Quantum Chem. 2641, 153 (1968)
M V Sataric, J A Tuszyosky and R B Zakula, Phys. Rev. E 48, 589 (1993)
M V Sataric and J A Tuszynski, J. Biol. Phys. 31, 487 (2005)
M V Sataric, M Dragic and D Sejulic, Rom. Rep. Phys. 63, 624 (2011)
A M Wazwaz, Appl. Math. Comput. 212, 120 (2009)
S S Ray and A K Gupta, J. Math. Chem. 52, 1066 (2014)
S S Ray, Numer. Meth. Partial Diff. Eqs 37, 341 (2021)
N Raza, M S Osman, A-H Abdel-Aty and H R Besbes, Adv. Diff. Eqs 2020, 517 (2020)
N Raza, S Arshed and A Javid, Int. J. Nonlinear Sci. Numer. Simul. 21, 855 (2020)
Md A Kayum, S Ara, H K Barman and M Ali Akbar, Results Phys. 18, 103269 (2020)
H K Barman, A R Seadawy, M Ali Akbar and D Baleanu, Results Phys. 17, 103131 (2020)
H M E Zahran, World J. Nano Sci. Eng. 5, 78 (2015)
H M E Zahran, Adv. Nanopart. 4, 25 (2015)
A H Abdel Aty, M A Khater, R A M Attia and H Eleuch, Mathematics 8, 697 (2020)
About this article
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
- Painleve approach
- nanosoliton of ionic wave model
- variational iteration method
- travelling wave solutions
- numerical solutions