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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 :
AIMS Press, 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

Language :
English
ISSN :
24736988
Volume :
6
Issue :
7
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.75ba9f461d72484b84214a409b130830
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2021426?viewType=HTML