广义Hastings-McLeod解的复活Trans-Series
Resurgent Trans-Series for Generalized Hastings-McLeod Solutions
摘要:
我们表明,物理黑斯廷斯-麦克劳德解决方案的可积Painleve II方程推广到一个自然的方式一类不可积方程,在某种程度上,保留了许多重要的定性性质。我们推导出这些广义解的反级数结构,证明了可积性对于解的复苏渐近性质不是必不可少的。
英文摘要:
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.
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