论文标题
tau功能和KP解决方案在代数曲线家族的家族中
Tau functions and KP solutions on families of algebraic curves
论文作者
论文摘要
使用通用Mumford曲线的Abelian差异和周期，我们研究了tau函数的通用表达和渐近行为，这些函数定义了用于稳定退化的代数曲线家族，并具有其他数据。此外，我们将这项研究应用于KP层次结构的溶液，这些溶液由非架构的theta函数表达，并通过与包含M-Curves家族定义的实际溶液的准周期溶液的混合物和构造的混合物来构建解决方案。
Using abelian differentials and periods of the universal Mumford curve, we study the universal expression and asymptotic behavior of tau functions defined for stably degenerating families of algebraic curves with additional data. Furthermore, we apply this study to constructing solutions to the KP hierarchy which are expressed by nonarchimedean theta functions and by mixtures of quasi-periodic solutions with solitons containing real solutions defined on families of M-curves.
