University of Arizona
When
12:30 – 1:30 p.m., Nov. 17, 2026
Where
Large x asymptotics of real solutions of the sinh-Gordon Painlevé III
We consider the large x asymptotics of any real-valued solutions of the sinh-Godron reduction of the Painleve III on the real line. One is the one-parameter family of solutions that are smooth near ∞; the other is the two-parameter family of solutions that have accumulated singularities near ∞. We apply the Riemann-Hilbert nonlinear steepest descent method of Deift and Zhou to the sinh-Gordon Painleve III in view of its Lax integrability and obtain the desired asymptotic formulae. This is joint work with Alexander Its and Maxim Yattselev.