The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions
The complex coupled integrable dispersionless (CID)system is an important system. It has been shown that complex CID equation is gauge equivalent to the Pohlmeyer–Lund–Regge model (a complex sine-Gordon equation) and can also be transformed to the complex short pulse equation. CID system can describ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000900 |
| _version_ | 1811178834647580672 |
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| author | Caiqin Song Chen-Chen Fu Zuo-Nong Zhu |
| author_facet | Caiqin Song Chen-Chen Fu Zuo-Nong Zhu |
| author_sort | Caiqin Song |
| collection | DOAJ |
| description | The complex coupled integrable dispersionless (CID)system is an important system. It has been shown that complex CID equation is gauge equivalent to the Pohlmeyer–Lund–Regge model (a complex sine-Gordon equation) and can also be transformed to the complex short pulse equation. CID system can describe a current-fed string interacting with an external magnetic field. In this paper, we investigate the two-component complex coupled integrable dispersionless system. By using the Darboux transformation, we obtain a new type of solution (the breather-like soliton solution) with zero boundary condition and a large number of solutions (the breather-II type solution, bright–dark soliton solution, the resonance solutions and the semi-rational solutions) with non-zero boundary condition. In particular, these solutions are not available for the scalar complex integrable dispersionless system. |
| first_indexed | 2024-04-11T06:25:37Z |
| format | Article |
| id | doaj.art-d9439c82e1c2458a9b089f0241c872ff |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-11T06:25:37Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-d9439c82e1c2458a9b089f0241c872ff2022-12-22T04:40:25ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-12-016100436The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutionsCaiqin Song0Chen-Chen Fu1Zuo-Nong Zhu2College of Science, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, PR China; Corresponding author.College of Science, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, PR ChinaSchool of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dongchuang Road, Shanghai 200240, PR ChinaThe complex coupled integrable dispersionless (CID)system is an important system. It has been shown that complex CID equation is gauge equivalent to the Pohlmeyer–Lund–Regge model (a complex sine-Gordon equation) and can also be transformed to the complex short pulse equation. CID system can describe a current-fed string interacting with an external magnetic field. In this paper, we investigate the two-component complex coupled integrable dispersionless system. By using the Darboux transformation, we obtain a new type of solution (the breather-like soliton solution) with zero boundary condition and a large number of solutions (the breather-II type solution, bright–dark soliton solution, the resonance solutions and the semi-rational solutions) with non-zero boundary condition. In particular, these solutions are not available for the scalar complex integrable dispersionless system.http://www.sciencedirect.com/science/article/pii/S2666818122000900Two-component coupled complex integrable dispersionless equationDarboux transformationSoliton solution |
| spellingShingle | Caiqin Song Chen-Chen Fu Zuo-Nong Zhu The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions Partial Differential Equations in Applied Mathematics Two-component coupled complex integrable dispersionless equation Darboux transformation Soliton solution |
| title | The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions |
| title_full | The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions |
| title_fullStr | The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions |
| title_full_unstemmed | The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions |
| title_short | The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions |
| title_sort | two component complex coupled integrable dispersionless equations darboux transformation and soliton solutions |
| topic | Two-component coupled complex integrable dispersionless equation Darboux transformation Soliton solution |
| url | http://www.sciencedirect.com/science/article/pii/S2666818122000900 |
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