Resurgent Trans-Series for Generalized Hastings-McLeod Solutions
arXiv:2002.06270 · doi:10.1088/1751-8121/ab9fb8
Abstract
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.
arXiv comment11 pages, 6 figures
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