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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 of all solutions of the radial Toda equation. In this article, we compute the as…
math-ph2018★ 21 cited
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…
math-ph2016★ 50 cited
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…