Traveling wave solutions of conformable time fractional Burgers type equations

Abstract

In this paper, we investigate the conformable time fractional Burgers type equations. First, we construct the explicit solutions of Riccati equation by means of modified tanh function method and modified extended exp-function method respectively. In addition, based on the formulas obtained above, the traveling wave solutions of conformable time fractional Burgers equation and (2+1)-dimensional generalized conformable time fractional Burgers equations are established applying functional separation variables method. Furthermore, the three-dimensional diagrams of the obtained exact solutions are presented for the purpose of visualization.

Keywords

• conformable time fractional burgers type equation
• riccati equation
• traveling wave solution
• method of functional separation of variables