%0 Journal Article
%T Multi-solitary wave solutions to the general time fractional Sharma每Tasso每Olver equation and the time fractional Cahn每Allen equation
%A M. Ali Akbar
%A M. Hafiz Uddin
%A Md. Abdul Haque
%A Md. Ashrafuzzaman Khan
%J Arab Journal of Basic and Applied Sciences
%D 2019
%R https://doi.org/10.1080/25765299.2019.1599207
%X Abstract The space time fractional Sharma每Tasso每Olver (STO) equation and the time fractional Cahn每Allen (CA) equation are well-designated to fission and fusion phenomena including those for solitons, electromagnetic interactions, quantum relativistic atom theory, phase isolation in several components bass system, the relativistic energy-momentum relation. In this article, we have exerted the exact solution to STO and CA equation in the light of fractional derivative (e.g. modified Riemann每Liouville derivative). By using wave transformation the ODE of integer order is generated by the fractional partial differential equation (FPDE). We investigated the travelling wave solution to these equations through the recently established double (G'/G,1/G)-expansion method. The results obtained in view of hyperbolic, trigonometric and rational functions containing parameters. We have demonstrated that this method is convenient, effective and powerful tools for solving nonlinear fractional differential equations (NLFDEs)
%U https://www.tandfonline.com/doi/full/10.1080/25765299.2019.1599207