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SUMMARY:Taras Skrypnyk
DTSTART:20210428T162000Z
DTEND:20210428T180000Z
DTSTAMP:20260423T023051Z
UID:GDEq/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/36/">As
 ymmetric variable separation for the Clebsch model</a>\nby Taras Skrypnyk 
 as part of Geometry of differential equations seminar\n\n\nAbstract\nIn th
 e present talk we present our result on separation of variables (SoV) for 
 the Clebsch model.\n\nIn particular\, we report on the development of two 
 methods in the variable separation theory:\n<ol>\n  <li>the method of the 
 differential separability conditions\;</li>\n  <li>the method of the vecto
 r fields $Z$.</li>\n</ol>\nUsing these two methods we construct an asymmet
 ric variable separation for the Clebsch model. Our SoV is unusual: it is c
 haracterized by two different curves of separation. We explicitly construc
 t coordinates and momenta of separation\, the reconstruction formulae and 
 the Abel-type quadratures for the Clebsch system. The solution of the non-
 standard Abel-Jacobi inversion problem is briefly discussed.\n
LOCATION:https://researchseminars.org/talk/GDEq/36/
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