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Waves in Random and Complex Media Volume 27, 2017 - Issue 4
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Original Articles

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

K. HosseiniDepartment of Mathematics, Rasht Branch, Islamic Azad University, Rasht, IranCorrespondence[email protected]
[email protected]
&
R. AnsariDepartment of Mechanical Engineering, University of Guilan, Rasht, Iran
Pages 628-636 | Received 20 Aug 2016, Accepted 08 Feb 2017, Published online: 28 Feb 2017
 
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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.

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