Application of Morse potential in nonlinear dynamics of microtubules
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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.
Keywords:Microtubules / Morse potential / Kink solitons
Source:Nonlinear Dynamics, 2017, 90, 4, 2841-2849
- Photonics of micro and nano structured materials (RS-45010)
- JINR, Dubna, Russian Federation, Ministry of Education and Science of Republic of Serbia: Theory of Condensed Matter Physics, Russian Science Foundation [17-11-01157]