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Traveling wave solutions of conformable time fractional Burgers type equations
- 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.
- Subjects :
- conformable time fractional burgers type equation
General Mathematics
Mathematical analysis
Hyperbolic function
Conformable matrix
Type (model theory)
Burgers' equation
method of functional separation of variables
traveling wave solution
Nonlinear Sciences::Exactly Solvable and Integrable Systems
riccati equation
QA1-939
Traveling wave
Riccati equation
Function method
Mathematics
Subjects
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