Coverings and integrability of the Gauss-Mainardi-Codazzi equations
solv-int
2024-03-21 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.solv-int/9812010,
title = {Coverings and integrability of the Gauss-Mainardi-Codazzi equations},
author = {Joseph Krasil'shchik and Michal Marvan},
journal= {arXiv preprint arXiv:solv-int/9812010},
year = {2024}
}
Comments
15 pages, LaTeX 2e