An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov system
In the present study, we investigate solitary wave solutions to the Drinfeld–Sokolov system. This system describes the dispersive water waves in fluid mechanics and is known as an anisotropic integrable system along with a Lax extension of the famous Korteweg–De Vries equation. The pivotal aim of th...
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doaj-c003b74f805b462f972bede29ac88e792021-09-27T04:25:46ZengElsevierResults in Physics2211-37972021-10-0129104733An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov systemB. Günay0Chun-Ku Kuo1Wen-Xiu Ma2Faculty of Engineering and Natural Sciences, Bahcesehir University, 34349 Istanbul, Turkey; Corresponding authors.Department of Aeronautics and Astronautics, Air Force Academy, Kaohsiung 820, Taiwan, ROC; Corresponding authors.Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China; Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA; School of Mathematics, South China University of Technology, Guangzhou 510640, China; School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa; Corresponding authors.In the present study, we investigate solitary wave solutions to the Drinfeld–Sokolov system. This system describes the dispersive water waves in fluid mechanics and is known as an anisotropic integrable system along with a Lax extension of the famous Korteweg–De Vries equation. The pivotal aim of this study is to make much more contributions to the fluid mechanics by extracting various versions of traveling waves which are helpful to further understand the mechanism of propagation of the dispersive waves. The presented method used for achieving our main goal is the generalized exponential rational function method. Several different categories of solutions are all determined using a single structure in the utilized technique. After comparing with the existing methods, such as the Exp-function method, the generated exact wave solutions show the efficiency of the utilized method. For the sake of discovering more facts about the numerical nature of obtained wave solutions, several 2D diagrams have been shown. Further, the acquired results of this paper also pave the way for the use of the technique in solving other nonlinear models.http://www.sciencedirect.com/science/article/pii/S2211379721008044Exact optical solutionsTraveling wave solutionsDrinfeld–Sokolov systemThe generalized exponential rational function method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
B. Günay Chun-Ku Kuo Wen-Xiu Ma |
spellingShingle |
B. Günay Chun-Ku Kuo Wen-Xiu Ma An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov system Results in Physics Exact optical solutions Traveling wave solutions Drinfeld–Sokolov system The generalized exponential rational function method |
author_facet |
B. Günay Chun-Ku Kuo Wen-Xiu Ma |
author_sort |
B. Günay |
title |
An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov system |
title_short |
An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov system |
title_full |
An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov system |
title_fullStr |
An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov system |
title_full_unstemmed |
An application of the exponential rational function method to exact solutions to the Drinfeld–Sokolov system |
title_sort |
application of the exponential rational function method to exact solutions to the drinfeld–sokolov system |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2021-10-01 |
description |
In the present study, we investigate solitary wave solutions to the Drinfeld–Sokolov system. This system describes the dispersive water waves in fluid mechanics and is known as an anisotropic integrable system along with a Lax extension of the famous Korteweg–De Vries equation. The pivotal aim of this study is to make much more contributions to the fluid mechanics by extracting various versions of traveling waves which are helpful to further understand the mechanism of propagation of the dispersive waves. The presented method used for achieving our main goal is the generalized exponential rational function method. Several different categories of solutions are all determined using a single structure in the utilized technique. After comparing with the existing methods, such as the Exp-function method, the generated exact wave solutions show the efficiency of the utilized method. For the sake of discovering more facts about the numerical nature of obtained wave solutions, several 2D diagrams have been shown. Further, the acquired results of this paper also pave the way for the use of the technique in solving other nonlinear models. |
topic |
Exact optical solutions Traveling wave solutions Drinfeld–Sokolov system The generalized exponential rational function method |
url |
http://www.sciencedirect.com/science/article/pii/S2211379721008044 |
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