New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method
Department of Mathematics, Mustafa Kemal University, Hatay, Turkey
2 Department of Mathematics, Selçuk University, Konya, Turkey
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Accepted: 24 June 2016
Published online: 26 July 2016
In this paper, the Jacobi elliptic function expansion method is proposed for the first time to construct the exact solutions of the time conformable fractional two-dimensional Boussinesq equation and the combined KdV-mKdV equation. New exact solutions are found. This method is based on Jacobi elliptic functions. The results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear conformable time-fractional partial differential equations.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016