Fractional traveling wave solutions of the (2+1)-dimensional fractional complex Ginzburg-Landau equation via two methods

摘要

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.