New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method

Abstract

In this paper, the nonlinear Boussinesq equations with the conformable time-fractional derivative are solved analytically using the well-established modified Kudryashov method. As a consequence, a number of new exact solutions for this type of equations are formally derived. It is believed that the method is one of the most effective techniques for extracting new exact solutions of nonlinear fractional differential equations. © 2017 Informa UK Limited, trading as Taylor & Francis Group.