تقرير
Generalized Backlund transformations for Affine Toda Hierarchies
| العنوان: | Generalized Backlund transformations for Affine Toda Hierarchies |
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| المؤلفون: | Ferreira, J. M. Carvalho, Gomes, J. F., Lobo, G. V., Zimerman, A. H. |
| المصدر: | J. Phys. A (2021), 065202 |
| سنة النشر: | 2020 |
| المجموعة: | High Energy Physics - Theory Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory |
| الوصف: | The construction of generalized Backlund transformation for the $A_n$ Affine Toda hierarchy is proposed in terms of gauge transformation acting on the zero curvature representation. Such construction is based upon the graded structure of the underlying affine algebra which induces a classification of generalized Backlund transformations. Moreover, explicit examples for $su(3)$ and $su(4)$ lead to uncover interesting composition properties of various types of Backlund transformations. The universality character of the gauge-Backlund transformation method is extended to all equations of the hierarchy. Such interesting property provides a systematic framework to construct Backlund transformations to higher flow equations. Explicit example for the simplest higher flow of the $sl(3)$ hierarchy is presented. Comment: 23 pages, Latex |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/abd8b2 |
| URL الوصول: | http://arxiv.org/abs/2010.03631 |
| رقم الأكسشن: | edsarx.2010.03631 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/abd8b2 |
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