The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions
The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the dynamical behaviors of the single-soliton solution...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2019/8342876 |
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| _version_ | 1832561656838750208 |
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| author | Siqi Xu |
| author_facet | Siqi Xu |
| author_sort | Siqi Xu |
| collection | DOAJ |
| description | The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the dynamical behaviors of the single-soliton solution are displayed graphically. |
| format | Article |
| id | doaj-art-a6f6a536d0d0484f95abd64369ae9d70 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a6f6a536d0d0484f95abd64369ae9d702025-02-03T01:24:32ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/83428768342876The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton SolutionsSiqi Xu0School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, ChinaThe Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the dynamical behaviors of the single-soliton solution are displayed graphically.http://dx.doi.org/10.1155/2019/8342876 |
| spellingShingle | Siqi Xu The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions Abstract and Applied Analysis |
| title | The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions |
| title_full | The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions |
| title_fullStr | The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions |
| title_full_unstemmed | The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions |
| title_short | The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions |
| title_sort | modified coupled hirota equation riemann hilbert approach and n soliton solutions |
| url | http://dx.doi.org/10.1155/2019/8342876 |
| work_keys_str_mv | AT siqixu themodifiedcoupledhirotaequationriemannhilbertapproachandnsolitonsolutions AT siqixu modifiedcoupledhirotaequationriemannhilbertapproachandnsolitonsolutions |