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                                       Details for article 40 of 79 found articles
 
 
  Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras
 
 
Title: Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras
Author: Oksana Ye. Hentosh
Anatoliy K. Prykarpatsky
Appeared in: Opuscula mathematica
Paging: Volume 27 (2007) nr. 2 pages 231-244
Year: 2007
Contents: 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 eigenfunctions and adjoint eigenfunctions evolutions of associated spectral problems are obtained. The Hamiltonian description of the corresponding set of additional symmetry hierarchies is represented. The relation of these hierarchies with Lax integrable (3+1)-dimensional nonlinear dynamical systems and their triple Lax-type linearizations is analysed.
Publisher: AGH University of Science and Technology (provided by DOAJ)
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 40 of 79 found articles
 
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