Separation of variables for some systems with a fourth-order integral of motion |
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Authors: | Yu. A. Grigoryev V. A. Khudobakhshov A. V. Tsiganov |
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Affiliation: | 1. St. Petersburg State University, St. Petersburg, Russia
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Abstract: | We construct separation variables for Yehia’s integrable deformations of the Kovalevskaya top and the Chaplygin system on a sphere. In the general case, the corresponding quadratures are given by the Abel-Jacobi map on a two-dimensional submanifold of the Jacobian of a genus-three algebraic curve, which is not hyperelliptic. |
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