Alexander R. Its

activity

20162025

most citedMonodromy dependence and connection formulae for isomonodromic tau functions

50 citations · 73 across the 5 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

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…

math.AP2024★ 1 cited

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…