تقرير
Families of KP solutions associated with tropical curves having nontrivial weights
العنوان: | Families of KP solutions associated with tropical curves having nontrivial weights |
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المؤلفون: | Ichikawa, Takashi |
سنة النشر: | 2023 |
المجموعة: | Mathematics Mathematical Physics |
مصطلحات موضوعية: | Mathematical Physics, Mathematics - Algebraic Geometry, 14H10, 14H15, 14H42, 30F30, 32G20, 35C08, 35Q51, 37K10 |
الوصف: | In order to generalize a program by Agostini and others producing new KP solutions, we construct families of quasi-periodic KP solutions which are derived from degenerating Riemann surfaces associated with tropical curves having nontrivial weights. By taking the regularized tropical limits of these solutions, we obtain formulas of general KP solutions which are expressed by mixtures of solitons and Riemann theta functions. Comment: 12 pages |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2312.06998 |
رقم الأكسشن: | edsarx.2312.06998 |
قاعدة البيانات: | arXiv |
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