THE IMPROVED FRACTIONAL SUB-EQUATION METHOD AND ITS APPLICATIONS TO NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

摘要

The fractional derivatives in the sense of modified Riemann-Liouville derivative and the improved fractional sub-equation method are employed for constructing the exact solutions of nonlinear fractional partial differential equations. By means of this method, the space-time fractional generalized Hirota-Satsuma coupled Korteweg-de Vries equations are successfully solved. As a result, three types of exact and explicit solutions are obtained.