50 citations · 73 across the 5 of their papers we have counts for
5 papers
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 of all solutions of the radial Toda equation. In this article, we compute the as…
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 asymptotics for of real solutions of the sinh-Godron Painlevé III() equation. Thes…
Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation
Harini Desiraju, Alexander R. Its, Andrei Prokhorov
We obtain rigorous large time asymptotics for the Landau-Lifshitz equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The meth…
On some Hamiltonian properties of the isomonodromic tau functions
A. R. Its, A. Prokhorov
We discuss some new aspects of the theory of the Jimbo-Miwa-Ueno tau function which have come to light within the recent developments in the global asymptotic analysis of the tau f…
Monodromy dependence and connection formulae for isomonodromic tau functions
A. Its, O. Lisovyy, A. Prokhorov
We discuss an extension of the Jimbo-Miwa-Ueno differential 1-form to a form closed on the full space of extended monodromy data of systems of linear ordinary differential equation…