New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational E...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/3879259 |
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| author | Kwasi Boateng Weiguo Yang Wilson Osafo Apeanti David Yaro |
| author_facet | Kwasi Boateng Weiguo Yang Wilson Osafo Apeanti David Yaro |
| author_sort | Kwasi Boateng |
| collection | DOAJ |
| description | The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As a consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical characteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes acquired is also discussed and it demonstrates that all the solutions built are accurate and stable. |
| format | Article |
| id | doaj-art-93f52922eba042d497b50f67398dd13c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-93f52922eba042d497b50f67398dd13c2025-02-03T06:46:17ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/38792593879259New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of EquationKwasi Boateng0Weiguo Yang1Wilson Osafo Apeanti2David Yaro3Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaThe Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As a consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical characteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes acquired is also discussed and it demonstrates that all the solutions built are accurate and stable.http://dx.doi.org/10.1155/2019/3879259 |
| spellingShingle | Kwasi Boateng Weiguo Yang Wilson Osafo Apeanti David Yaro New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation Advances in Mathematical Physics |
| title | New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation |
| title_full | New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation |
| title_fullStr | New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation |
| title_full_unstemmed | New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation |
| title_short | New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation |
| title_sort | new exact solutions and modulation instability for the nonlinear 2 1 dimensional davey stewartson system of equation |
| url | http://dx.doi.org/10.1155/2019/3879259 |
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