Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization |
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| Authors: | J Golenia O Ye Hentosh A K Prykarpatsky |
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| Institution: | (1) Department of Applied Mathematics, The AGH University of Science and Technology, Krakow, 30059, Poland;(2) Department of Nonlinear Mathematical Analysis of NAS, Lviv, 79060, Ukraina |
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| Abstract: | The Hamiltonian representation for a hierarchy of Lax type equations on a dual space to the Lie algebra of integro-differential operators with matrix coefficients, extended by evolutions for eigenfunctions and adjoint eigenfunctions of the corresponding spectral problems, is obtained via some special Bäcklund transformation. The connection of this hierarchy with integrable by Lax two-dimensional Davey-Stewartson type systems is studied. |
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| Keywords: | Three-dimensional Lax-type flows R-matrix approach integrable Hamiltonian systems Backlund transformation |
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