期刊
CHINESE JOURNAL OF PHYSICS
卷 55, 期 6, 页码 2400-2406出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cjph.2017.10.009
关键词
Microtubules; Partial differential equation; Series expansion unknown function method; Kink solitons
资金
- Serbian Ministry of Education, Sciences and Technological Development [III45010]
Microtubules (MTs) are the most important part of cytoskeleton. In this paper we deal with two basic nonlinear differential equations coming from the two known models describing nonlinear dynamics of MTs. These equations are solved using the series expansion unknown function method (SEUFM). Trying to recognize the most general mathematical procedure for solving these equations the solutions are compared with those obtained earlier using the tangent hyperbolic function method (THFM) and the simplest equation method (SEM). In all these three approaches we express the solutions of these equations as series expansions. In the cases of THFM and SEM the functions existing in the series are known while SEUFM assumes unknown function.
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