Traveling wave solutions of conformable time fractional Burgers type equations

Xiaoli Wang; Lizhen Wang; Xiaoli Wang; Lizhen Wang

doi:10.3934/math.2021426

AIMS Mathematics

2021, Volume 6, Issue 7: 7266-7284. doi: 10.3934/math.2021426

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Traveling wave solutions of conformable time fractional Burgers type equations

Xiaoli Wang ,
Lizhen Wang ^,

Center for Nonlinear Studies, School of Mathematics, Northwest University, Xi'an 710127, China

Received: 03 March 2021 Accepted: 21 April 2021 Published: 29 April 2021
MSC : 26A33, 35C07

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.
Citation: Xiaoli Wang, Lizhen Wang. Traveling wave solutions of conformable time fractional Burgers type equations[J]. AIMS Mathematics, 2021, 6(7): 7266-7284. doi: 10.3934/math.2021426

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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.

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