Dual Isomonodromic Problems and Whitham Equations

Details Dual Isomonodromic Problems and Whitham Equations Dual Isomonodromic Problems and Whitham Equations

1997-05-28

arxiv.org/abs/solv-int/9705016v2

Lett.Math.Phys. 43 (1998) 123-135

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, no figures. Several sentences are added in order to clarify the contents of Sections 5 and 6

Scientific paper

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 $\epsilon$. 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.

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