Alexander R. Its

most citedConnection formulae for the radial Toda equations II

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math-ph2025★ 1 cited

Connection formulae for the radial Toda equations II

Martin A. Guest, Alexander R. Its, Maksim Kosmakov +2

This is a continuation of [arXiv:2309.16550] in which we computed the asymptotics near $x = \infty$ of all solutions of the radial Toda equation. In this article, we compute the as…

nlin.SI2024

The non-linear steepest descent approach to the singular asymptotics of the sinh-Gordon reduction of the Painlevé III equation

Alexander R. Its, Kenta Miyahara, Maxim L. Yattselev

Motivated by the simplest case of tt*-Toda equations, we study the large and small $x$ asymptotics for $x > 0$ of real solutions of the sinh-Godron Painlevé III( $D_{6}$ ) equation. Thes…