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

• Autorzy: Hentosh O. Ye. , Prykarpatsky A. K.
• Języki publikacji: PL

Abstrakty

EN

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 transforniation 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.

Słowa kluczowe

EN

centrally extended operator Lie algebra; Lax-type flows; Backlund transformation; "ghost" symmetries

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2007
• Tom: Vol. 27, no. 2
• Strony: 231--244
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Hentosh O. Ye.

autor

Prykarpatsky A. K.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland [Prykarpatsky A. K.],

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