Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation
Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/424059 |
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| _version_ | 1832545397083471872 |
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| author | Wenjuan Rui Yufeng Zhang |
| author_facet | Wenjuan Rui Yufeng Zhang |
| author_sort | Wenjuan Rui |
| collection | DOAJ |
| description | Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained by using the Riemann theta function. The asymptotic properties of one-periodic wave solution and two-periodic wave solutions are also established, respectively. |
| format | Article |
| id | doaj-art-bd9a38fe160d44db9693d8b344cff86b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bd9a38fe160d44db9693d8b344cff86b2025-02-03T07:25:54ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/424059424059Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable EquationWenjuan Rui0Yufeng Zhang1College of Science, China University of Mining and Technology, Xuzhou 221116, ChinaCollege of Science, China University of Mining and Technology, Xuzhou 221116, ChinaBinary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained by using the Riemann theta function. The asymptotic properties of one-periodic wave solution and two-periodic wave solutions are also established, respectively.http://dx.doi.org/10.1155/2014/424059 |
| spellingShingle | Wenjuan Rui Yufeng Zhang Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation Abstract and Applied Analysis |
| title | Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation |
| title_full | Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation |
| title_fullStr | Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation |
| title_full_unstemmed | Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation |
| title_short | Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation |
| title_sort | backlund transformation and quasi periodic solutions for a variable coefficient integrable equation |
| url | http://dx.doi.org/10.1155/2014/424059 |
| work_keys_str_mv | AT wenjuanrui backlundtransformationandquasiperiodicsolutionsforavariablecoefficientintegrableequation AT yufengzhang backlundtransformationandquasiperiodicsolutionsforavariablecoefficientintegrableequation |