Discriminantly separable polynomials and the generalized Kowalevski top
2017 ◽
Vol 44
(2)
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pp. 229-236
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Keyword(s):
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.
1999 ◽
Vol 94
(4)
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pp. 1512-1557
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2008 ◽
Vol 84
(98)
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pp. 1-36
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1986 ◽
Vol 50
(4)
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pp. 522-525
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2005 ◽
Vol 69
(2)
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pp. 195-198
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1973 ◽
Vol 37
(3)
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pp. 520-524
1980 ◽
Vol 44
(6)
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pp. 713-720
1987 ◽
Vol 67
(12)
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pp. 641-648
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