A modified Suris hierarchy and N-fold Darboux -Bäcklund transformation
A modified Suris hierarchy is derived by discrete zero curvature equation. Bi-Hamiltonian structure of the whole hierarchy is established through the discrete trace identity. And we prove that the obtained hierarchy is Liouville integrable. Then a one-fold Darboux- Bäcklund transformation for the mo...
| 出版年: | Partial Differential Equations in Applied Mathematics |
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| 主要な著者: | , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
Elsevier
2022-06-01
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| 主題: | |
| オンライン･アクセス: | http://www.sciencedirect.com/science/article/pii/S2666818121001133 |
| 要約: | A modified Suris hierarchy is derived by discrete zero curvature equation. Bi-Hamiltonian structure of the whole hierarchy is established through the discrete trace identity. And we prove that the obtained hierarchy is Liouville integrable. Then a one-fold Darboux- Bäcklund transformation for the modified Suris system is established by means of a proper gauge transformation matrix. As application, an explicit solution is given. Finally, as a result of the N times one-fold Darboux–Bäcklund transformation, we derive N-fold Darboux–Bäcklund transformation. |
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| ISSN: | 2666-8181 |