Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules
Само за регистроване кориснике
2014
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
Jacobian elliptic functions / ordinary differential equations / microtubules / kink solitonИзвор:
Chinese Physics B, 2014, 23, 2Финансирање / пројекти:
- Фотоника микро и нано структурних материјала (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- UGC, NBHM, India, BRNS, India, ICTP, Italy, UGC
DOI: 10.1088/1674-1056/23/2/020504
ISSN: 1674-1056; 1741-4199
WoS: 000332104800024
Scopus: 2-s2.0-84894085236
Колекције
Институција/група
VinčaTY - JOUR AU - Zeković, Slobodan AU - Muniyappan, Annamalai AU - Zdravković, Slobodan AU - Kavitha, Louis PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5904 AB - 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. T2 - Chinese Physics B T1 - Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules VL - 23 IS - 2 DO - 10.1088/1674-1056/23/2/020504 ER -
@article{ author = "Zeković, Slobodan and Muniyappan, Annamalai and Zdravković, Slobodan and Kavitha, Louis", year = "2014", 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.", journal = "Chinese Physics B", title = "Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules", volume = "23", number = "2", doi = "10.1088/1674-1056/23/2/020504" }
Zeković, S., Muniyappan, A., Zdravković, S.,& Kavitha, L.. (2014). Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules. in Chinese Physics B, 23(2). https://doi.org/10.1088/1674-1056/23/2/020504
Zeković S, Muniyappan A, Zdravković S, Kavitha L. Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules. in Chinese Physics B. 2014;23(2). doi:10.1088/1674-1056/23/2/020504 .
Zeković, Slobodan, Muniyappan, Annamalai, Zdravković, Slobodan, Kavitha, Louis, "Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules" in Chinese Physics B, 23, no. 2 (2014), https://doi.org/10.1088/1674-1056/23/2/020504 . .