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math-ph2012★ 11 cited
S. Kovalevskaya system, its generalization and discretization
Matteo Petrera, Yuri B. Suris
We consider an integrable three-dimensional system of ordinary differential equations introduced by S.V. Kovalevskaya in a letter to G. Mittag-Leffler. We prove its isomorphism wit…
math-ph2012★ 12 cited
Spherical geometry and integrable systems
Matteo Petrera, Yuri B. Suris
We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dyna…