Report
Why is my rational Painlev\'e V solution not unique?
| العنوان: | Why is my rational Painlev\'e V solution not unique? |
|---|---|
| المؤلفون: | Aratyn, H., Gomes, J. F., Lobo, G. V., Zimerman, A. H. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics |
| الوصف: | Under special conditions the Painlev\'e V equation has more than one rational solution solving it with the same parameters. In the setting of formalism that identifies points on orbits of the fundamental shift operators of $A^{(1)}_{3}$ affine Weyl group with rational solutions we derive conditions for such non-uniqueness to occur. We identify the seed solutions from which the non-unique solutions are generated and put forward a method to systematically obtain their closed expressions from the underlying seed solutions. Comment: 20 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.07825 |
| رقم الانضمام: | edsarx.2307.07825 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |