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New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method
Authors:K Hosseini  R Ansari
Institution:1. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran;2. Department of Mechanical Engineering, University of Guilan, Rasht, Iran
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.
Keywords:Nonlinear Boussinesq equations  conformable time-fractional derivative  modified Kudryashov method  new exact solutions
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