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Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules |
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| Authors: | Slobodan Zekovi&# Annamalai Muniyappan Slobodan Zdravkovi&# Louis Kavitha |
| Affiliation: | a Institut za nuklearne nauke Vinča, Laboratorija za atomsku fiziku 040, Univerzitet u Beogradu, Poštanski fah 522, 11001 Beograd, Serbia;b Department of Physics, Periyar University, Salem-636 011, Tamilnadu, India;c Center for Nanoscience and Nanotechnology, Periyar University, Salem-636 011, Tamilnadu, India |
| Abstract: | We show how Jacobian elliptic functions(JEFs)can be used to solve ordinary differential equations(ODEs)describing the nonlinear dynamics of microtubules(MTs).We demonstrate that only one of the JEFs can be used while the remaining two do not represent the solutions of the crucial differential equation.We show that a kink-type soliton moves along MTs.Besides this solution,we also discuss a few more solutions that may or may not have physical meanings.Finally,we show what kind of ODE can be solved by using JEFs. |
| Keywords: | Jacobian elliptic functions ordinary differential equations microtubules kink soliton |
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