Dual Isomonodromic Problems and Whitham Equations
solv-int
2008-02-03 v2 High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
Abstract
The author's recent results on an asymptotic description of the Schlesinger equation are generalized to the JMMS equation. As in the case of the Schlesinger equation, the JMMS equation is reformulated to include a small parameter . By the method of multiscale analysis, the isomonodromic problem is approximated by slow modulations of an isospectral problem. A modulation equation of this slow dynamics is proposed, and shown to possess a number of properties similar to the Seiberg- Witten solutions of low energy supersymmetric gauge theories.
Cite
@article{arxiv.solv-int/9705016,
title = {Dual Isomonodromic Problems and Whitham Equations},
author = {Kanehisa Takasaki},
journal= {arXiv preprint arXiv:solv-int/9705016},
year = {2008}
}
Comments
15 pages, latex, no figures. Several sentences are added in order to clarify the contents of Sections 5 and 6