Fractional Traveling Wave Solutions Of The (2+1)-Dimensional Fractional Complex Ginzburg-Landau Equation Via Two Methods

A (2 + 1)-dimensional fractional complex Ginzburg-Landau equation is solved via fractional Riccati method and fractional bifunction method, and exact traveling wave solutions including soliton solution and combined soliton solutions are constructed based on Mittag-Leffler function. A series of fractional orders is used to demonstrate the graphical representation and physical interpretation of the resulting solutions. The role of the fractional order is revealed.