论文标题
通用Hastings-McLeod Solutions的复兴跨系列
Resurgent Trans-Series for Generalized Hastings-McLeod Solutions
论文作者
论文摘要
我们表明，可集成的Painleve II方程的物理Hastings-McLeod解决方案以一种自然方式将一类不可融合的方程式概括为保留许多重要的定性属性的方式。我们得出了这些广义溶液的跨系列结构，表明整合性对于溶液的复发渐近性特性并不是必不可少的。
We show that the physical Hastings-McLeod solution of the integrable Painleve II equation generalizes in a natural way to a class of non-integrable equations, in a way that preserves many of the significant qualitative properties. We derive the trans-series structure of these generalized solutions, demonstrating that integrability is not essential for the resurgent asymptotic properties of the solutions.
