Some Wadati-Konno-Ichikawa type integrable systems and their constructions
| العنوان: | Some Wadati-Konno-Ichikawa type integrable systems and their constructions |
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| المؤلفون: | Shou-Feng Shen, Guo-Fang Wang, Yong-Yang Jin, Xiao-Rui Hu |
| بيانات النشر: | arXiv, 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics, 37K05, 37K10, 35Q53 |
| الوصف: | A standard form of Wadati-Konno-Ichikawa(WKI)-type integrable systems is derived from an $$sl(2,\mathbb {R})$$ s l ( 2 , R ) -valued spectral problem. Each equation in the resulting hierarchy has a bi-Hamiltonian structure furnished by the trace identity. Then, the higher grading affine algebraic construction of some special cases is proposed. We also show that the generalized short pulse equation arises naturally from the negative WKI flow. |
| DOI: | 10.48550/arxiv.2202.10900 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d770b420e5c7e4d340dfd4b0dab58aa |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....7d770b420e5c7e4d340dfd4b0dab58aa |
| قاعدة البيانات: | OpenAIRE |
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