Results in Physics (Mar 2018)

Analytic solution for the space-time fractional Klein-Gordon and coupled conformable Boussinesq equations

  • Muhannad A. Shallal,
  • Hawraz N. Jabbar,
  • Khalid K. Ali

DOI
https://doi.org/10.1016/j.rinp.2017.12.051
Journal volume & issue
Vol. 8
pp. 372 – 378

Abstract

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In this paper, we constructed a travelling wave solution for space-time fractional nonlinear partial differential equations by using the modified extended Tanh method with Riccati equation. The method is used to obtain analytic solutions for the space-time fractional Klein-Gordon and coupled conformable space-time fractional Boussinesq equations. The fractional complex transforms and the properties of modified Riemann-Liouville derivative have been used to convert these equations into nonlinear ordinary differential equations. Keywords: Fractional Klein-Gordon equation, Coupled conformable fractional Boussinesq equation, Modified extended Tanh method