The agenda of next meetings of Krasil'shchik's seminar on geometry of
differential equations at the Independent University of Moscow joint
with the seminar of Laboratories 6 and 82 of the ICS RAS.
28 April seminar will be held online only.
Speaker: Taras Skrypnyk
Title: Asymmetric variable separation for the Clebsch model
Language: English
Zoom:
https://zoom.us/j/8817121842?pwd=UGVhR3ZuZmY1OEgyTlp1c2Y1UXZjZz09Zoom Passcode: 2619
Abstract:
In the present talk we present our result on separation of variables
(SoV) for the Clebsch model.
In particular, we report on the development of two methods in the
variable separation theory:
1. the method of the differential separability conditions;
2. the method of the vector fields Z.
Using these two methods we construct an asymmetric variable separation
for the Clebsch model. Our SoV is unusual: it is characterized by two
different curves of separation. We explicitly construct 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.
The seminar meets on Wednesday evenings at 19:20 MSK in Zoom,
Meeting ID: 88 17 12 1842
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