Resurgent Trans-Series for Generalized Hastings-McLeod Solutions
Mathematical Physics
2020-09-07 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2002.06270,
title = {Resurgent Trans-Series for Generalized Hastings-McLeod Solutions},
author = {Nikko J. Cleri and Gerald V. Dunne},
journal= {arXiv preprint arXiv:2002.06270},
year = {2020}
}
Comments
11 pages, 6 figures