Microtubules Nonlinear Models Dynamics Investigations through the exp(??(?))-Expansion Method Implementation

Nur Alam and Fethi Bin Muhammad Belgacem
Additional contact information
Nur Alam: Department of Mathematics, Pabna University of Science & Technology, Pabna 6600, Bangladesh
Fethi Bin Muhammad Belgacem: Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya 92400, Kuwait

Mathematics, 2016, vol. 4, issue 1, 1-13

Abstract: In this research article, we present exact solutions with parameters for two nonlinear model partial differential equations(PDEs) describing microtubules, by implementing the exp(??(?))-Expansion Method. The considered models, describing highly nonlinear dynamics of microtubules, can be reduced to nonlinear ordinary differential equations. While the first PDE describes the longitudinal model of nonlinear dynamics of microtubules, the second one describes the nonlinear model of dynamics of radial dislocations in microtubules. The acquired solutions are then graphically presented, and their distinct properties are enumerated in respect to the corresponding dynamic behavior of the microtubules they model. Various patterns, including but not limited to regular, singular kink-like, as well as periodicity exhibiting ones, are detected. Being the method of choice herein, the exp(??(?))-Expansion Method not disappointing in the least, is found and declared highly efficient.

Keywords: The exp(??( ? ))-Expansion Method; models of microtubules; exact solutions; periodic solutions; rational solutions; solitary solutions; trigonometric solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/4/1/6/pdf (application/pdf)
https://www.mdpi.com/2227-7390/4/1/6/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:4:y:2016:i:1:p:6-:d:63434

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().