ABSTRACT
The exact solutions of non-linear evolution equations, namely, the time-fractional modified Kawahara equation, fractional coupled Jaulent-Miodek (JM) equation, time-fractional modified Korteweg-de Vries (KdV) equation, and the time-fractional Kaup-Kupershmidt equation have been analyzed by the (G’/G)-expansion method and improved (G’/G)-expansion method in chapter 6. The fractional complex transform can easily convert a fractional differential equation into its equivalent ordinary differential equation form. So fractional complex transform is extremely effective for solving fractional differential equations. The focused methods have many advantages: they are straightforward and concise. Furthermore, this study shows that the proposed method is quite efficient. The performance of this method is reliable and effective and gives the exact solitary wave solutions which have been presented by three-dimensional and two-dimension solutions graphs.
