Fractional version of (1Â +Â 1)-dimensional Biswas-Milovic equation and its solutions

This work deals with fractional version of (1 + 1)-dimensional Biswas-Milovic equation that describes the long-distance optical communications. Some soliton and traveling wave solutions are obtained for the equation by means of four trigonometric analytical methods and symbolic computations. The solution of the problem by means of these methods reduces the independent variables in the fractional equation by one leading to nonlinear ordinary differential equations. The resulting nonlinear ordinary differential equations are then solved analytically using Maple software. All of obtained solutions are new for the fractional Biswas-Milovic equation. The work shows the power of these schemes and the variety of the obtained solutions.