Coverings and integrability of the Gauss-Mainardi-Codazzi equations

Details Coverings and integrability of the Gauss-Mainardi-Codazzi equations Coverings and integrability of the Gauss-Mainardi-Codazzi equations

1998-12-09

arxiv.org/abs/solv-int/9812010v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, LaTeX 2e

Scientific paper

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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