Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water Waves
The main purpose of this paper is to construct the traveling wave solution of the Kaup–Boussinesq system with beta derivative arising from water waves. By using the complete discriminant system method of polynomial, the rational function solution, the trigonometric function solution, the exponential...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/8857299 |
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| author | Dan Chen Zhao Li |
| author_facet | Dan Chen Zhao Li |
| author_sort | Dan Chen |
| collection | DOAJ |
| description | The main purpose of this paper is to construct the traveling wave solution of the Kaup–Boussinesq system with beta derivative arising from water waves. By using the complete discriminant system method of polynomial, the rational function solution, the trigonometric function solution, the exponential function solution, and the Jacobian function solution of the Kaup–Boussinesq system with beta derivative are obtained. In order to further explain the propagation of the Kaup–Boussinesq system with beta derivative in water waves, we draw its three-dimensional diagram, two-dimensional diagram, density plot, and contour plot by using Maple software. |
| format | Article |
| id | doaj-art-4a2f77a54cc74350af47d70bb6151074 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4a2f77a54cc74350af47d70bb61510742025-02-03T05:57:26ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/8857299Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water WavesDan Chen0Zhao Li1College of Computer ScienceCollege of Computer ScienceThe main purpose of this paper is to construct the traveling wave solution of the Kaup–Boussinesq system with beta derivative arising from water waves. By using the complete discriminant system method of polynomial, the rational function solution, the trigonometric function solution, the exponential function solution, and the Jacobian function solution of the Kaup–Boussinesq system with beta derivative are obtained. In order to further explain the propagation of the Kaup–Boussinesq system with beta derivative in water waves, we draw its three-dimensional diagram, two-dimensional diagram, density plot, and contour plot by using Maple software.http://dx.doi.org/10.1155/2022/8857299 |
| spellingShingle | Dan Chen Zhao Li Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water Waves Discrete Dynamics in Nature and Society |
| title | Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water Waves |
| title_full | Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water Waves |
| title_fullStr | Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water Waves |
| title_full_unstemmed | Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water Waves |
| title_short | Traveling Wave Solution of the Kaup–Boussinesq System with Beta Derivative Arising from Water Waves |
| title_sort | traveling wave solution of the kaup boussinesq system with beta derivative arising from water waves |
| url | http://dx.doi.org/10.1155/2022/8857299 |
| work_keys_str_mv | AT danchen travelingwavesolutionofthekaupboussinesqsystemwithbetaderivativearisingfromwaterwaves AT zhaoli travelingwavesolutionofthekaupboussinesqsystemwithbetaderivativearisingfromwaterwaves |