Analyzes transition asymptotics for real solutions of the sinh-Gordon Painlevé III equation, mapping exponential to elliptic to trigonometric regimes via the scaling |p|^2 = 1 + e^{2ϰ x}.
Integrable systems and random matrices , SERIES =
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Transition asymptotics for the real solutions of the sinh-Gordon Painlev\'e III equation
Analyzes transition asymptotics for real solutions of the sinh-Gordon Painlevé III equation, mapping exponential to elliptic to trigonometric regimes via the scaling |p|^2 = 1 + e^{2ϰ x}.