New mixed-dark soliton solutions to the hyperbolic generalization of the Burgers equation
Abstract
In this paper, we apply the exponential function method to find mixed-dark, exponential and singular soliton solutions in the hyperbolic generalization of the Burgers equation. We obtain some entirely new mixed singular and dark soliton solutions. Under the suitable values of parameters, various dimensional simulations of results are plotted. Finally, we present a conclusion by giving novelties of paper.
Keywords
References
- Arshad, M., Seadawy, A. R., Lu, D., Bright-dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics, Journal of Electromagnetic Waves and Applications 31, 1711-1721, (2017).
- Yokus, A., Sulaiman, T. A., Bulut, H., On the analytical and numerical solutions of the Benjamin–Bona–Mahony equation. Optical and Quantum Electronics, 50,1, 31, (2018).
- Arshad, M., Seadawy, A. R., Lu, D., Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrödinger equation and its stability, Optik 138, 40-49, (2017).
- Baskonus, H. M., Bulut, H., New wave behaviors of the system of equations for the Ion Sound and Langmuir waves, Waves in Random and Complex Media, 26,4, 613-625, (2016).
- Dusunceli, F., Solutions for the Drinfeld-Sokolov equation using an ibsefm method, MSU Journal of Science, 6, 1, 505-510, (2018). doi : 10.18586/msufbd.403217
- Baskonus, H. M., Complex soliton solutions to the Gilson-Pickering model, Axioms, 8, 1, 18, (2019).
- Dusunceli, F., New exponential and complex traveling wave solutions to the Konopelchenko-Dubrovsky model, Advances in Mathematical Physics, 2019, Article ID 7801247, 9, (2019).
- Cattani, C., Sulaiman, T. A., Baskonus, H.M., Bulut, H., Solitons in an inhomogeneous Murnaghan's rod, European Physical Journal Plus, 133, 228, 1-12, (2018).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Alaattin Esen
This is me
0000-0002-7927-5941
Publication Date
June 28, 2019
Submission Date
February 7, 2019
Acceptance Date
May 31, 2019
Published in Issue
Year 2019 Volume: 21 Number: 2
Cited By
New Travelling Wave Solution-Based New Riccati Equation for Solving KdV and Modified KdV Equations
Applied Mathematics and Nonlinear Sciences
https://doi.org/10.2478/amns.2020.2.00034