Abstract
Microtubules (MTs) are series of protein and protofilaments. These are very important in cell divisioning, designing and nonlinear phenomena in the field of engineering and science. In this article, we study multiple soliton interactions with the help of Hirota bilinear method. We also study dromions for MTs model with the help of the extended(G '/G)-expansion method. At the end, we will discuss integrability of model through the Painleve analysis.