A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
Based on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation. With the aid of Matlab, the curves of the solutions...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7286574 |
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| _version_ | 1832560809110142976 |
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| author | Ting Su Hui Hui Dai |
| author_facet | Ting Su Hui Hui Dai |
| author_sort | Ting Su |
| collection | DOAJ |
| description | Based on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation. With the aid of Matlab, the curves of the solutions are drawn. |
| format | Article |
| id | doaj-art-590dd85c3c334ab99b5a29fc9bc4465e |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-590dd85c3c334ab99b5a29fc9bc4465e2025-02-03T01:26:42ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/72865747286574A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing MethodTing Su0Hui Hui Dai1Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, ChinaDepartment of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong KongBased on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation. With the aid of Matlab, the curves of the solutions are drawn.http://dx.doi.org/10.1155/2018/7286574 |
| spellingShingle | Ting Su Hui Hui Dai A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method Advances in Mathematical Physics |
| title | A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method |
| title_full | A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method |
| title_fullStr | A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method |
| title_full_unstemmed | A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method |
| title_short | A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method |
| title_sort | new integrable variable coefficient 2 1 dimensional long wave short wave equation and the generalized dressing method |
| url | http://dx.doi.org/10.1155/2018/7286574 |
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