PreprintCC0arXiv
Multivariable Painleve'-II equation: connection formulas for arbitrary system size
Abstract
Connection formulas for the asymptotic solutions of a system of n> 1 coupled Painleve'-II equations with symmetry-breaking parameters are written explicitly. An asymptotically exact WKB approach to these formulas relies on the quantum-mechanical independent crossing approximation for an explicitly time-dependent Schroedinger equation.
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BibTeX
@misc{sinitsyn2026multivariable,
title = {{Multivariable Painleve'-II equation: connection formulas for arbitrary system size}},
author = {Nikolai A. Sinitsyn},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.14996},
eprint = {2609.14996},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14996},
note = {CC0},
}
RIS
TY - UNPB
TI - Multivariable Painleve'-II equation: connection formulas for arbitrary system size
AU - Nikolai A. Sinitsyn
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2609.14996
UR - https://arxiv.org/abs/2609.14996
AB - Connection formulas for the asymptotic solutions of a system of n> 1 coupled Painleve'-II equations with symmetry-breaking parameters are written explicitly. An asymptotically exact WKB approach to these formulas relies on the quantum-mechanical independent crossing approximation for an explicitly time-dependent Schroedinger equation.
ER -