dorsal/arxiv
View SchemaCoverings and integrability of the Gauss-Mainardi-Codazzi equations
| Authors | Joseph Krasil'shchik, Michal Marvan |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9812010 |
| URL | https://arxiv.org/abs/solv-int/9812010 |
| DOI | 10.1023/A:1006121716159 |
| Journal | Acta Appl. Math. 56 (1999) 217-230 |
Abstract
Using covering theory approach (zero-curvature representations with the gauge group SL2), we insert the spectral parameter into the Gauss-Mainardi-Codazzi equations in Tchebycheff and geodesic coordinates. For each choice, four integrable systems are obtained.
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"abstract": "Using covering theory approach (zero-curvature representations with the gauge\ngroup SL2), we insert the spectral parameter into the Gauss-Mainardi-Codazzi\nequations in Tchebycheff and geodesic coordinates. For each choice, four\nintegrable systems are obtained.",
"arxiv_id": "solv-int/9812010",
"authors": [
"Joseph Krasil\u0027shchik",
"Michal Marvan"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1023/A:1006121716159",
"journal_ref": "Acta Appl. Math. 56 (1999) 217-230",
"title": "Coverings and integrability of the Gauss-Mainardi-Codazzi equations",
"url": "https://arxiv.org/abs/solv-int/9812010"
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