Multivariable Painleve'-II equation: connection formulas for arbitrary system size

• URL: http://arxiv.org/abs/2609.14996v1
• Date: Mon, 14 Sep 2026 04:04:13 GMT
• Title: Multivariable Painleve'-II equation: connection formulas for arbitrary system size
• Abstract summary: Connection formulas for a system of n> 1 coupled Painleve'-II equations with symmetry-breaking parameters are written explicitly.<n>Anally exact WKB approach to these formulas relies on the quantum-mechanical independent crossing approximation for an explicitly time-dependent Schroedinger equation.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• 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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