Traveling wave solutions along microtubules and in the Zhiber-Shabat equation

- The exponential rational function method is used to obtain exact solutions.
- New exact solutions obtained can help to understand the dynamics of MTs.
- The performance of this method is reliable.
- These solutions could be even of basic importance for explanation of cognitive processes in neurons.

The aim of this paper is to apply the exponential rational function method for solving nonlinear equations arising in various physical models such as nonlinear electrical transmission lines, optical fibers, DNA, to mention a few. New exact solutions are obtained and can help to well understand the process of those systems. The method used is very effective and simple and can be applied to other types of nonlinear equations.