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Traveling wave solutions of conformable time fractional Burgers type equations

Authors :
Xiaoli Wang
Lizhen Wang
Source :
AIMS Mathematics, Vol 6, Iss 7, Pp 7266-7284 (2021)
Publication Year :
2021
Publisher :
American Institute of Mathematical Sciences (AIMS), 2021.

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.

Details

ISSN :
24736988
Volume :
6
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....6cfa9fbe1c261c6bbd5a99a884abf05f
Full Text :
https://doi.org/10.3934/math.2021426