Cover Image

Lie-algebraic structure of (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems

A 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 Bå...

Full description

Saved in:

Bibliographic Details
Date:	2004
Main Authors:	Hentosh, О. Ye., Prykarpatsky, A. K., Гентош, О. Є., Прикарпатський, А. К.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3810
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Lie-algebraic structure of (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems
by: Prykarpatsky, A.K., et al.
Published: (2004)

Lie-algebraic structure of the Lax-integrable (2| 1+ 1) -dimensional supersymmetric matrix dynamical systems
by: Hentosh, О. Ye., et al.
Published: (2017)

Lie-algebraic structure of the Lax-integrable (2|1+1)-dimensional supersymmetric matrix dynamical systems
by: Ye. Hentosh
Published: (2017)

Lax-integrable Laberge–Mathieu hierarchy of supersymmetric nonlinear dynamical systems and its finite-dimensional reduction of Neumann type
by: Hentosh, О. Ye., et al.
Published: (2009)

Compatibly bi-Hamiltonian superconformal analogs of Lax-integrable nonlinear dynamical systems
by: Hentosh, О. Ye., et al.
Published: (2006)

Lax–Sato integrable dispersionless systems on supermanifolds related to a centrally extended generalization of the loop superconformal Lie algebra
by: Hentosh, O., et al.
Published: (2026)

On the completely integrable calogero-type discretizations of Lax-integrable nonlinear dynamical systems and related coadjoint Markov-type orbits
by: Prykarpatsky, A. K., et al.
Published: (2016)

Bargmann type finite-dimensional reductions of the Lax integrable supersymmetric Boussinesq hierarchy and their integrability
by: Ye. Hentosh
Published: (2015)

Differential-geometric structure and the Lax – Sato integrability of a class of dispersionless heavenly type equations
by: Hentosh, О. Ye., et al.
Published: (2018)

Bargmann type finite-dimensional reductions of the Lax integrable supersymmetric Boussinesq hierarchy and their integrability
by: Hentosh, O.E.
Published: (2015)

On the completely integrable calogero-type discretizations of Lax-integrable nonlinear dynamical systems and related coadjoint Markov-type orbits
by: A. K. Prykarpatskyi
Published: (2016)

Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
by: Hentosh, O.Ye.
Published: (2006)

Lie-algebraic structure of integrable nonlinear dynamical systems on extended functional manifolds
by: Pritula, N. N., et al.
Published: (1997)

A generalized hydrodynamical Gurevich-Zybin equation of Riemann type and its Lax type integrability
by: Pavlov, M.V., et al.
Published: (2010)

The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems
by: Prykarpatsky, A. K., et al.
Published: (2003)

Nonlinear integrable systems related to the elliptic lie—baxter algebra
by: Pritula, N. N., et al.
Published: (1996)

Differential-geometric structure and the Lax–Sato integrability of a class of dispersionless heavenly type equations
by: M. M. Prytula, et al.
Published: (2018)

On Integration of One Class of Systems of Lax-Type Equations
by: A. A. Lunyov, et al.
Published: (2015)

Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
by: Jiang, Jun, et al.
Published: (2020)

Jacobi polynomials and Lax representation for completely integrable dynamical systems
by: Enolskii, V. Z., et al.
Published: (1994)

On the sum of an almost abelian Lie algebra and a Lie algebra finite-dimensional over its center
by: Petravchuk, A. P., et al.
Published: (1999)

The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme
by: Prykarpatsky, A.K., et al.
Published: (2017)

Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
by: Accardi, L., et al.
Published: (2009)

On Strongly Inert Subalgebras of an Infinite-Dimensional Lie Algebra
by: Petravchuk, A. P., et al.
Published: (2002)

On the sum of two Lie algebras with finite-dimensional commutants
by: Petravchuk, A. P., et al.
Published: (1995)

Finite-dimensional subalgebras in polynomial Lie algebras of rank one
by: Arzhantsev, I. V., et al.
Published: (2011)

Finite-dimensional subalgebras in polynomial Lie algebras of rank one
by: Arzhantsev, I.V., et al.
Published: (2011)

Exponential Formulas and Lie Algebra Type Star Products
by: Meljanac, S., et al.
Published: (2012)

String Functions for Affine Lie Algebras Integrable Modules
by: Kulish, P., et al.
Published: (2008)

Locally nilpotent Lie algebras of derivations of integral domains
by: Petravchuk, A. P.; Київський національний університет ім. Тараса Шевченка, Київ, et al.
Published: (2018)

Locally nilpotent Lie algebras of derivations of integral domains
by: A. P. Petravchuk, et al.
Published: (2017)

Lax Pair for a Novel Two-Dimensional Lattice
by: Kuznetsova, Maria N.
Published: (2021)

On the Lie algebra structures connected with Hamiltonian dynamical systems
by: Smirnov, R.G.
Published: (1997)

On the Lie algebra structures connected with Hamiltonian dynamical systems
by: Smirnov, R. G., et al.
Published: (1997)

Leibniz Algebras and Lie Algebras
by: Mason, G., et al.
Published: (2013)

Steen – Ermakov – Pinney equation and integrable nonlinear deformation of one-dimensional Dirac equation
by: Prykarpatsky, Y.A.
Published: (2017)

On a class of systems of equations of the Lax type
by: A. A. Lunev, et al.
Published: (2015)

Some aspects of the gradient-holomic algorithm in the theory of integration of nonlinear dynamic systems and the problems of computer algebra
by: Mitropolsky , Yu. O., et al.
Published: (1991)

Three-dimensional Lie algebras for a one class of wave equations
by: O. V. Mahda
Published: (2017)

Discrete models on one-dimensional net with the preset Lie algebra of symmetries
by: Balinsky , A. I., et al.
Published: (1992)