New explicit solutions for the space-time fractional mBBM equation

Abstract:

In order to construct new explicit solutions of the space-time fractional mBBM equation, the fractional complex transformation is applied to turn the fractional partial differential equation into an ordinary differential equation (ODE). Then the extended (G'/G)-expansion method is used to solve the ODE. The new exact solutions contain trigonometric function solutions, hyperbolic function solutions, and rational functions with negative power exponent.