Modified Exp-Function Method to Find Exact Solutions of Microtubules Nonlinear Dynamics Models

In this paper, we use the modified exp (-psi(theta))-function method to observe some of the solitary wave solutions for the microtubules (MTs). By treating the issues as nonlinear model partial differential equations describing microtubules, we were able to solve the problem. We then found specific solutions to the nonlinear evolution equation (NLEE) covering various parameters that are particularly significant in biophysics and nanobiosciences. In addition to the soliton-like pulse solutions, we also find the rational, trigonometric, hyperbolic, and exponential function characteristic solutions for this equation. The validity of the method we developed and the fact that it provides more solutions are demonstrated by comparison to other methods. We next use the software Mathematica 10 to generate 2D, 3D, and contour plots of the precise findings we observed using the suggested technique and the proper parameter values.

Automated summary

In this paper, the modified exp(-psi(theta))-function method is used to explore the solitary wave solutions for microtubules (MTs). By treating the problem as a nonlinear model partial differential equation, specific solutions to the nonlinear evolution equation (NLEE) are found, covering important parameters in biophysics and nanobiosciences. In addition to soliton-like pulse solutions, rational, trigonometric, hyperbolic, and exponential function characteristic solutions are also discovered. The validity and superiority of the proposed method are demonstrated through comparisons with other methods. Mathematica 10 software is then used to generate visual plots of the observed findings, validating the suggested technique and parameter values.