Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization

• Autorzy: J. Golenia , O. Hentosh , A. Prykarpatsky
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Three-dimensional Lax-type flows; R-matrix approach; integrable Hamiltonian systems; Backlund transformation

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34B05: Linear boundary value problems
• 34A30: Linear equations and systems, general
• 54B15: Quotient spaces, decompositions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 1
• Strony: 84-104

Daty

wydano

2007-03-01

online

2007-03-01

Twórcy

autor

J. Golenia

• The AGH University of Science and Technology

autor

O. Hentosh

• Department of Nonlinear Mathematical Analysis of NAS

autor

A. Prykarpatsky

• The AGH University of Science and Technology

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-006-0038-1