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

arXivSeptember 15, 20261 min read

arXiv:2609.14996v1 Announce Type: cross 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.

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.

Exactly Solvable and Integrable Systems (nlin.SI); Disordered Systems and Neural Networks (cond-mat.dis-nn); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

arXiv:2609.14996 [nlin.SI]

(or arXiv:2609.14996v1 [nlin.SI] for this version)

https://doi.org/10.48550/arXiv.2609.14996 arXiv-issued DOI via DataCite (pending registration)

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