Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras

A hierarchy of Lax-type flows on a dual space to the centrally extended Lie algebra of integral-differential operators with matrix-valued coefficients is considered. By means of a specially constructed Backlund transformation the Hamiltonian representations for these flows coupled with suitable eige...

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Bibliographic Details
Main Authors: Oksana Ye. Hentosh, Anatoliy K. Prykarpatsky
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2007-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol27/2/art/opuscula_math_2719.pdf