25 citations · 65 across the 6 of their papers we have counts for
6 papers
Duality for the general isomonodromy problem
N M J Woodhouse
By an extension of Harnad's and Dubrovin's `duality' constructions, the general isomonodromy problem studied by Jimbo, Miwa, and Ueno is equivalent to one in which the linear syste…
Two twistor descriptions of the isomonodromy problem
N M J Woodhouse
The connections between Hitchin and Mason's twistor descriptions of the isomonodromy problem are explored.
The geometry of dual isomonodromic deformations
G. Sanguinetti, N. M. J Woodhouse
The JMMS equations are studied using the geometry of the spectral curve of a pair of dual systems. It is shown that the equations can be represented as time-independent Hamiltonian…
Tau-functions, twistor theory, and quantum field theory
L. J. Mason, M. A. Singer, N. M. J. Woodhouse
This article is concerned with obtaining the standard tau function descriptions of integrable equations (in particular, here the KdV and Ernst equations are considered) from the ge…
The symplectic and twistor geometry of the general isomonodromic deformation problem
N. M. J. Woodhouse
Hitchin's twistor treatment of Schlesinger's equations is extended to the general isomonodromic deformation problem. It is shown that a generic linear system of ordinary differenti…
From 2D Integrable Systems to Self-Dual Gravity
M. Dunajski, L. J. Mason, N. M. J. Woodhouse
We explain how to construct solutions to the self-dual Einstein vacuum equations from solutions of various two-dimensional integrable systems by exploiting the fact that the Lax fo…