Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods

Abstract

In this article, we study one of the most popular models in nature and also industrial which is the van der Waals normal form for the fluidized granular matter. Understanding of static and dynamic property for these kinds of the models is very important in many aspects of industrial from pharmaceuticals to civil engineering and also some basic physical phenomena like those studied in geophysics. This model explains the phase separation phenomenon. We apply six different methods for this model to obtained the traveling and solitary wave solutions. We make the comparison between obtained solutions with each of them and also with obtained solutions with different methods.