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Paper detail

Resurgent Trans-Series for Generalized Hastings-McLeod Solutions

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.

preprint2020arXivOpen access
Nikko J. CleriGerald V. Dunne
math-phmath.MP
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Nikko J. CleriGerald V. Dunne

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