Exact solutions of nonlinear dynamics of microtubules equation using the methods of first integral and (G′ G ) expansion

Abstract

In this paper, microtubules nonlinear dynamics has been investigated through two different approaches — the first integral method and the [Formula: see text] expansion method — with an objective of deriving traveling wave solutions to the considered model governed by nonlinear partial differential equation by first reducing it to nonlinear ordinary differential equation. The classes of solutions, furnished by these two methods, form a completely new contribution. In some cases, we also demonstrate that various solutions reported earlier in literature can also be recovered as special cases from the solutions constructed in this study.