تقرير
Derivation of Painlev\'e type system with $D_4^{(1)}$ affine Weyl group symmetry in a self-similarity limit
| العنوان: | Derivation of Painlev\'e type system with $D_4^{(1)}$ affine Weyl group symmetry in a self-similarity limit |
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| المؤلفون: | Aratyn, H., Gomes, J. F., Lobo, G. V., Zimerman, A. H. |
| المصدر: | Open Communications in Nonlinear Mathematical Physics, Volume 3 (September 6, 2023) ocnmp:11714 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics |
| الوصف: | We show how the zero-curvature equations based on a loop algebra of $D_4$ with a principal gradation reduce via self-similarity limit to a polynomial Hamiltonian system of coupled Painlev\'e III models with four canonical variables and $D_4^{(1)}$ affine Weyl group symmetry. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.46298/ocnmp.11714 |
| URL الوصول: | http://arxiv.org/abs/2304.10035 |
| رقم الأكسشن: | edsarx.2304.10035 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.46298/ocnmp.11714 |
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