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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 31, 2018 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
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Reductions of the dispersionless DKP hierarchy
V. Akhmedova NRU HSE
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Abstract:
We describe reductions of the dispersionless DKP hierarchy (the dispersionless limit of the Pfaff lattice) in the elliptic parametrization. Multi-variable reduction is given by a system of elliptic Löwner equations supplemented by a system of partial differential equations of hydrodynamic type. The compatibility conditions for the elliptic Löwner equations are elliptic analogues of the Gibbons–Tsarev equations.
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