دورية أكاديمية
A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation
| العنوان: | A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation |
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| المؤلفون: | Xi-Xiang Xu, Meng Xu |
| المصدر: | Discrete Dynamics in Nature and Society, Vol 2018 (2018) |
| بيانات النشر: | Hindawi Limited, 2018. |
| سنة النشر: | 2018 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation. Hamiltonian structure of obtained integrable family is established. Liouville integrability for the obtained family of discrete Hamiltonian systems is proved. Based on the gauge transformation between the Lax pair, a Darboux-Bäcklund transformation of the first nonlinear different-difference equation in obtained family is deduced. Using this Darboux-Bäcklund transformation, an exact solution is presented. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1026-0226 1607-887X |
| Relation: | https://doaj.org/toc/1026-0226; https://doaj.org/toc/1607-887X |
| DOI: | 10.1155/2018/4152917 |
| URL الوصول: | https://doaj.org/article/d90cbad8cca54a7cab8e9ec693738046 |
| رقم الأكسشن: | edsdoj.90cbad8cca54a7cab8e9ec693738046 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10260226 1607887X |
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| DOI: | 10.1155/2018/4152917 |