Families of KP solutions associated with tropical curves having nontrivial weights

التفاصيل البيبلوغرافية
العنوان: Families of KP solutions associated with tropical curves having nontrivial weights
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