Explicit solutions to the Sharma-Tasso-Olver equation

Mohammed Aly Abdou; Loubna Ouahid; Saud Owyed; A. M. Abdel-Baset; Mustafa Inc; Mehmet Ali Akinlar; Yu-Ming Chu; Mohammed Aly Abdou; Loubna Ouahid; Saud Owyed; A. M. Abdel-Baset; Mustafa Inc; Mehmet Ali Akinlar; Yu-Ming Chu

doi:10.3934/math.2020465

AIMS Mathematics

2020, Volume 5, Issue 6: 7272-7284. doi: 10.3934/math.2020465

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Research article

Explicit solutions to the Sharma-Tasso-Olver equation

1.
Physics Department, College of Science, University of Bisha, Bisha 61922, P. O Box 344, Kingdom of Saudi Arabia
2.
Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
3.
Mathematics Department, College of Science, University of Bisha, Bisha 61922, P. O Box 344, Kingdom of Saudi Arabia
4.
Physics Department, Assiut University, Assiut 71516, Egypt
5.
Department of Mathematics, Firat University, Elazig, Turkey
6.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
7.
Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
8.
Department of Mathematics, Huzhou University, Huzhou 313000, China
9.
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China

Received: 01 May 2020 Accepted: 10 September 2020 Published: 17 September 2020
MSC : 35A09, 35E05

We present new exact traveling wave solutions of generalized Sharma-Tasso-Olver (STO) with variable coefficients using three different methods, namely the extended F-expansion, the new sub-equations, and generalized Kudryashov expansion. We obtain new solutions with the form of solitons, triangular and rational functions. Computational results indicate that these methods are very useful and easily applicable for solving diverse types of differential equations in nonlinear science.
- extended F-expansion,
- new sub-equations,
- generalized Kudryashov expansion method,
- Sharma-Tasso-Olver equation
Citation: Mohammed Aly Abdou, Loubna Ouahid, Saud Owyed, A. M. Abdel-Baset, Mustafa Inc, Mehmet Ali Akinlar, Yu-Ming Chu. Explicit solutions to the Sharma-Tasso-Olver equation[J]. AIMS Mathematics, 2020, 5(6): 7272-7284. doi: 10.3934/math.2020465

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Abstract

We present new exact traveling wave solutions of generalized Sharma-Tasso-Olver (STO) with variable coefficients using three different methods, namely the extended F-expansion, the new sub-equations, and generalized Kudryashov expansion. We obtain new solutions with the form of solitons, triangular and rational functions. Computational results indicate that these methods are very useful and easily applicable for solving diverse types of differential equations in nonlinear science.

References

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