New exact solutions of the coupled time-fractional generalized Hirota-Satsuma and KdV system
WANG Miaomiao, YAO Ruoxia*
（School of Computer Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China)
Abstract:
By means of the Jumarie′s modified Riemann-Liouville fractional derivative and the fractional complex transformation, using the solution of a second order ordinary differential equation and based the G′/G-expansion method, the coupled nonlinear time-fractional Hirota-Satsuma-KdV system is studied. Several hyperbolic function and trigonometric function exact solutions of this system are obtained, which enrich the exact solution family.
KeyWords:
fractional complex transformation; time-fractional Hirota-Satsuma-KdV system; G′/G-expansion method; Jumarie′s Riemann-Liouville derivative; exact solution
