NEW FAMILIES OF SOLUTIONS FOR THE SPACE-TIME FRACTIONAL BURGERS' EQUATION.

In this paper, the hyperbolic tangent function method is applied for constructing exact solutions for space-time conformal fractional Burgers' equation. Furthermore, the space-time conformal fractional Burgers' equation is tested for the Painlevé property, and consequently, new numerous exact solutions are generated via Bäcklund transform. [ABSTRACT FROM AUTHOR]