Periodic, complex and kink-type solitons for the nonlinear model in microtubules

In this paper, we use the exponential function method to find some complex travelling wave solutions in the nonlinear dynamics model which describes the dimer`s dynamics within microtubules. We obtain some entirely complex and kink-type soliton solutions to this nonlinear model. By choosing some suitable values of parameters, we plot the various dimensional simulations of all the obtained solutions in this study. We observe that our result may be useful in detecting some complex waves behaviors of kink solitons moving along the microtubule