Geodesic
Discriminantly separable polynomials and the generalized Kowalevski top
Theoretical and applied mechanics, Tome 44 (2017) no. 2, p. 229

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The notion of discriminantly separable polynomials of degree two in each of three variables has been recently introduced and related to a class of integrable dynamical systems. Explicit integration of such systems can be performed in a way similar to Kowalevski's original integration of the Kowalevski top. Here we present the role of discriminantly separable polynomials in integration of yet another well known integrable system, the so-called generalized Kowalevski top - the motion of a heavy rigid body about a fixed point in a double constant field. We present a novel way to obtain the separation variables for this system, based on the discriminantly separable polynomials.
DOI : 10.2298/TAM170926016D
Classification : 37J35, 37K60, 70E17, 70E40, 39A10
Keywords: the generalized Kowalevski top, discriminantly separable polynomials, separation variables 
Vladimir Dragović; Katarina Kukić. Discriminantly separable polynomials and the generalized Kowalevski top. Theoretical and applied mechanics, Tome 44 (2017) no. 2, p. 229 . doi: 10.2298/TAM170926016D
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     title = {Discriminantly separable polynomials and the generalized {Kowalevski} top},
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     year = {2017},
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