TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Bugay, Aleksandr N.
AU  - Parkhomenko, Aleksandr Yu.
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1824
AB  - We here present a model of nonlinear dynamics of microtubules using modified extended tanh-function method as a mathematical tool. Interaction between neighbouring dimers belonging to a single protofilament is commonly modelled by a harmonic potential. In this paper, we introduce a more realistic Morse potential energy instead. We obtained three solitary waves as before, when the harmonic potential was used. However, the Morse potential allows transition from the state when elastic term in the expression for total energy is bigger than the inertial one to the state when the inertial potential is bigger. Also, three new solutions were obtained.
T2  - Nonlinear Dynamics
T1  - Application of Morse potential in nonlinear dynamics of microtubules
VL  - 90
IS  - 4
SP  - 2841
EP  - 2849
DO  - 10.1007/s11071-017-3845-y
ER  - 

@article{
author = "Zdravković, Slobodan and Bugay, Aleksandr N. and Parkhomenko, Aleksandr Yu.",
year = "2017",
abstract = "We here present a model of nonlinear dynamics of microtubules using modified extended tanh-function method as a mathematical tool. Interaction between neighbouring dimers belonging to a single protofilament is commonly modelled by a harmonic potential. In this paper, we introduce a more realistic Morse potential energy instead. We obtained three solitary waves as before, when the harmonic potential was used. However, the Morse potential allows transition from the state when elastic term in the expression for total energy is bigger than the inertial one to the state when the inertial potential is bigger. Also, three new solutions were obtained.",
journal = "Nonlinear Dynamics",
title = "Application of Morse potential in nonlinear dynamics of microtubules",
volume = "90",
number = "4",
pages = "2841-2849",
doi = "10.1007/s11071-017-3845-y"
}

Zdravković, S., Bugay, A. N.,& Parkhomenko, A. Yu.. (2017). Application of Morse potential in nonlinear dynamics of microtubules. in Nonlinear Dynamics, 90(4), 2841-2849.
https://doi.org/10.1007/s11071-017-3845-y

Zdravković S, Bugay AN, Parkhomenko AY. Application of Morse potential in nonlinear dynamics of microtubules. in Nonlinear Dynamics. 2017;90(4):2841-2849.
doi:10.1007/s11071-017-3845-y .

Zdravković, Slobodan, Bugay, Aleksandr N., Parkhomenko, Aleksandr Yu., "Application of Morse potential in nonlinear dynamics of microtubules" in Nonlinear Dynamics, 90, no. 4 (2017):2841-2849,
https://doi.org/10.1007/s11071-017-3845-y . .