discriminantly separable polynomials
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2017 ◽  
Vol 44 (2) ◽  
pp. 229-236 ◽  
Author(s):  
Vladimir Dragovic ◽  
Katarina Kukic

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.



2014 ◽  
Vol 19 (2) ◽  
pp. 162-184 ◽  
Author(s):  
Vladimir Dragović ◽  
Katarina Kukić


2014 ◽  
Vol 6 (3) ◽  
pp. 319-333 ◽  
Author(s):  
Vladimir Dragović ◽  
◽  
Katarina Kukić ◽  




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