Modified Exp-Function Method to Find Exact Solutions of Ionic Currents along Microtubules

Attaullah, Muhammad Shakeel, Nehad Ali Shah and Jae Dong Chung
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Attaullah: Department of Mathematics, University of Wah, Wah Cantonment, Punjab 47040, Pakistan
Muhammad Shakeel: Department of Mathematics, University of Wah, Wah Cantonment, Punjab 47040, Pakistan
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Jae Dong Chung: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea

Mathematics, 2022, vol. 10, issue 6, 1-10

Abstract: A number of solitary wave solutions for microtubules (MTs) are observed in this article by using the modified exp-function approach. We tackle the problem by treating the results as nonlinear RLC transmission lines, and then finding exact solutions to Nonlinear Evolution Equation (NLEE) containing parameters of particular importance in biophysics and nanobiosciences. For this equation, we find trigonometric, hyperbolic, rational, and exponential function solutions, as well as soliton-like pulse solutions. A comparison with other approach indicates the legitimacy of the approach we devised as well as the fact that our method offers extra solutions. Finally, we plot 2D, 3D and contour visualizations of the exact results that we observed using our approach using appropriate parameter values with the help of software Mathematica 10.

Keywords: exact solutions; nonlinear RLC transmission lines; analytical method; nonlinear evolution equation of microtubules (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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