dorsal/arxiv
View SchemaDual Isomonodromic Problems and Whitham Equations
| Authors | Kanehisa Takasaki |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9705016 |
| URL | https://arxiv.org/abs/solv-int/9705016 |
| Journal | Lett.Math.Phys. 43 (1998) 123-135 |
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 $\epsilon$. 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.
{
"annotation_id": "21766a65-1e8b-4b3a-b836-d7097e513023",
"date_created": "2026-03-02T18:02:51.350000Z",
"date_modified": "2026-03-02T18:02:51.350000Z",
"file_hash": "725d1c4dc2a06f6af17839142971c824d990d839299f1f2c8c826f674cb097f1",
"private": false,
"record": {
"abstract": "The author\u0027s recent results on an asymptotic description of the Schlesinger\nequation are generalized to the JMMS equation. As in the case of the\nSchlesinger equation, the JMMS equation is reformulated to include a small\nparameter $\\epsilon$. By the method of multiscale analysis, the isomonodromic\nproblem is approximated by slow modulations of an isospectral problem. A\nmodulation equation of this slow dynamics is proposed, and shown to possess a\nnumber of properties similar to the Seiberg- Witten solutions of low energy\nsupersymmetric gauge theories.",
"arxiv_id": "solv-int/9705016",
"authors": [
"Kanehisa Takasaki"
],
"categories": [
"solv-int",
"hep-th",
"math.QA",
"nlin.SI",
"q-alg"
],
"journal_ref": "Lett.Math.Phys. 43 (1998) 123-135",
"title": "Dual Isomonodromic Problems and Whitham Equations",
"url": "https://arxiv.org/abs/solv-int/9705016"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6e1bb526-b065-4edb-bd43-f487086b5871",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}