Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules  

作　　者：Slobodan Zekovi Annamalai Muniyappan Slobodan Zdravkovi Louis Kavitha 

机构地区：[1]Institut za nuklearne nauke Vina,Laboratorija za atomsku fiziku 040,Univerzitet u Beogradu [2]Department of Physics,Periyar University [3]Center for Nanoscience and Nanotechnology,Periyar University

出　　处：《Chinese Physics B》2014年第2期178-182,共5页中国物理B（英文版）

基　　金：Project supported by Serbian Ministry of Education and Sciences (Grant No.III45010);UGC,NBHM,India (major research projects);BRNS,India (Young Scientist Research Award);ICTP,Italy (Junior Associateship);UGC (Rajiv Gandhi National Fellowship)

摘　　要：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 kinkbtype 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.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 kinkbtype 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.

关 键 词：Jacobian elliptic functions ordinary differential equations MICROTUBULES kink soliton 

分 类 号：O175[理学—数学] O415[理学—基础数学]