Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation
A semidiscrete integrable coupled system is obtained by embedding a free function into the discrete zero-curvature equation. Then, explicit solutions of the first two nontrivial equations in this system are derived directly by the Darboux transformation method. Finally, in order to compare the solut...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/9964540 |
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| _version_ | 1850229066435657728 |
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| author | Qiulan Zhao Qianqian Yang Xiangwen Qu |
| author_facet | Qiulan Zhao Qianqian Yang Xiangwen Qu |
| author_sort | Qiulan Zhao |
| collection | DOAJ |
| description | A semidiscrete integrable coupled system is obtained by embedding a free function into the discrete zero-curvature equation. Then, explicit solutions of the first two nontrivial equations in this system are derived directly by the Darboux transformation method. Finally, in order to compare the solutions before and after coupling intuitively, their structure figures are presented and analyzed. |
| format | Article |
| id | doaj-art-25fa77dfd4104c64a7724b203da1465b |
| institution | OA Journals |
| issn | 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-25fa77dfd4104c64a7724b203da1465b2025-08-20T02:04:21ZengWileyAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/9964540Characters of Explicit Solutions for a Semidiscrete Integrable Coupled EquationQiulan Zhao0Qianqian Yang1Xiangwen Qu2College of Mathematics and Systems ScienceCollege of Mathematics and Systems ScienceCollege of Physics and Photoelectric EngineeringA semidiscrete integrable coupled system is obtained by embedding a free function into the discrete zero-curvature equation. Then, explicit solutions of the first two nontrivial equations in this system are derived directly by the Darboux transformation method. Finally, in order to compare the solutions before and after coupling intuitively, their structure figures are presented and analyzed.http://dx.doi.org/10.1155/2021/9964540 |
| spellingShingle | Qiulan Zhao Qianqian Yang Xiangwen Qu Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation Advances in Mathematical Physics |
| title | Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation |
| title_full | Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation |
| title_fullStr | Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation |
| title_full_unstemmed | Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation |
| title_short | Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation |
| title_sort | characters of explicit solutions for a semidiscrete integrable coupled equation |
| url | http://dx.doi.org/10.1155/2021/9964540 |
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