Lie-algebraic structure of integrable nonlinear dynamical systems on extended functional manifolds
We consider the general Lie-algebraic scheme of construction of integrable nonlinear dynamical systems on extended functional manifolds. We obtain an explicit expression for consistent Poisson structures and write explicitly nonlinear equations generated by the spectrum of a periodic problem for an...
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | Pritula, N. N., Притула, М. М. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5150 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Nonlinear integrable systems related to the elliptic lie—baxter algebra
by: Pritula, N. N., et al.
Published: (1996)
by: Pritula, N. N., et al.
Published: (1996)
Lie-algebraic structure of (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems
by: Prykarpatsky, A.K., et al.
Published: (2004)
by: Prykarpatsky, A.K., et al.
Published: (2004)
Lie-algebraic structure of (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems
by: Hentosh, О. Ye., et al.
Published: (2004)
by: Hentosh, О. Ye., et al.
Published: (2004)
Structure of integrated supersymmetric nonlinear dynamic systems on the reduced invariant subvarieties
by: Pritula , M. M., et al.
Published: (1992)
by: Pritula , M. M., et al.
Published: (1992)
Quantum Lee algebra of currents is a universal algebraic structure of symmetries of quite integrable dynamic systems
by: Fil , B. N., et al.
Published: (1988)
by: Fil , B. N., et al.
Published: (1988)
On the Lie algebra structures connected with Hamiltonian dynamical systems
by: Smirnov, R.G.
Published: (1997)
by: Smirnov, R.G.
Published: (1997)
On the Lie algebra structures connected with Hamiltonian dynamical systems
by: Smirnov, R. G., et al.
Published: (1997)
by: Smirnov, R. G., et al.
Published: (1997)
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)
by: Hentosh, O., et al.
Published: (2026)
Differential-algebraic equations and dynamical systems on manifolds
by: Ju. G. Krivonos, et al.
Published: (2016)
by: Ju. G. Krivonos, et al.
Published: (2016)
Lie-algebraic structure of the Lax-integrable (2|1+1)-dimensional supersymmetric matrix dynamical systems
by: Ye. Hentosh
Published: (2017)
by: Ye. Hentosh
Published: (2017)
Lie-algebraic structure of the Lax-integrable (2| 1+ 1) -dimensional
supersymmetric matrix dynamical systems
by: Hentosh, О. Ye., et al.
Published: (2017)
by: Hentosh, О. Ye., et al.
Published: (2017)
String Functions for Affine Lie Algebras Integrable Modules
by: Kulish, P., et al.
Published: (2008)
by: Kulish, P., et al.
Published: (2008)
Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
by: Jiang, Jun, et al.
Published: (2020)
by: Jiang, Jun, et al.
Published: (2020)
Elliptic systems in extended Sobolev scale on a closed manifold
by: T. N. Zinchenko
Published: (2014)
by: T. N. Zinchenko
Published: (2014)
Five-mode quasilinear model of nonlinear dynamics of extended system
by: Lebid, Oleksii G.
Published: (2021)
by: Lebid, Oleksii G.
Published: (2021)
Five-mode quasilinear model of nonlinear dynamics of extended system
by: O. H. Lebid
Published: (2021)
by: O. H. Lebid
Published: (2021)
Linear analysis of extended integrable nonlinear ladder network system
by: O. O. Vakhnenko, et al.
Published: (2014)
by: O. O. Vakhnenko, et al.
Published: (2014)
Linear analysis of extended integrable nonlinear ladder network system
by: O. O. Vakhnenko, et al.
Published: (2014)
by: O. O. Vakhnenko, et al.
Published: (2014)
Formal and nonarchimedian structures of dynamic systems on manifolds
by: V. P. Kharchenko, et al.
Published: (2019)
by: V. P. Kharchenko, et al.
Published: (2019)
The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems
by: Prykarpatsky, A.K., et al.
Published: (2003)
by: Prykarpatsky, A.K., et al.
Published: (2003)
The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems
by: Prykarpatsky, A. K., et al.
Published: (2003)
by: Prykarpatsky, A. K., et al.
Published: (2003)
Integrability of nonlinear dynamical systems and differential geometry structures
by: Samoilenko, V. G., et al.
Published: (1993)
by: Samoilenko, V. G., et al.
Published: (1993)
Locally nilpotent Lie algebras of derivations of integral domains
by: Petravchuk, A. P.; Київський національний університет ім. Тараса Шевченка, Київ, et al.
Published: (2018)
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)
by: A. P. Petravchuk, et al.
Published: (2017)
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
by: Hentosh, O.Ye.
Published: (2010)
by: Hentosh, O.Ye.
Published: (2010)
Leibniz Algebras and Lie Algebras
by: Mason, G., et al.
Published: (2013)
by: Mason, G., et al.
Published: (2013)
Algebras of symmetries of completely integrable dynamic systems
by: Samoilenko , V. Gr., et al.
Published: (1988)
by: Samoilenko , V. Gr., et al.
Published: (1988)
Reducibility of a nonlinear oscillation system with pulse influence in the neighborhood of an integral manifold
by: Dudnytskyi, P. M., et al.
Published: (2004)
by: Dudnytskyi, P. M., et al.
Published: (2004)
On the solution manifolds for algebraic-delay systems
by: H.-O. Walther
Published: (2023)
by: H.-O. Walther
Published: (2023)
On the solution manifolds for algebraic-delay systems
by: Walther, Hans-Otto, et al.
Published: (2024)
by: Walther, Hans-Otto, et al.
Published: (2024)
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)
by: Mitropolsky , Yu. O., et al.
Published: (1991)
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
by: Sushchansky, V.I., et al.
Published: (2005)
by: Sushchansky, V.I., et al.
Published: (2005)
Realizations of affine Lie algebras
by: Futorny, Vyacheslav
Published: (2018)
by: Futorny, Vyacheslav
Published: (2018)
Realizations of affine Lie algebras
by: Futorny, V.
Published: (2005)
by: Futorny, V.
Published: (2005)
On Deformations and Contractions of Lie Algebras
by: Fialowski, A., et al.
Published: (2006)
by: Fialowski, A., et al.
Published: (2006)
On Lie Algebroids and Poisson Algebras
by: García-Beltrán, D., et al.
Published: (2012)
by: García-Beltrán, D., et al.
Published: (2012)
Subalgebras of generalized extended Galileo algebra
by: Barannik , L. F., et al.
Published: (1988)
by: Barannik , L. F., et al.
Published: (1988)
Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras
by: Magazev, A.A., et al.
Published: (2015)
by: Magazev, A.A., et al.
Published: (2015)
Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
by: Grabowska, Katarzyna, et al.
Published: (2020)
by: Grabowska, Katarzyna, et al.
Published: (2020)
Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology
by: Chirvasitu, Alexandru, et al.
Published: (2023)
by: Chirvasitu, Alexandru, et al.
Published: (2023)
Similar Items
-
Nonlinear integrable systems related to the elliptic lie—baxter algebra
by: Pritula, N. N., et al.
Published: (1996) -
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 (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems
by: Hentosh, О. Ye., et al.
Published: (2004) -
Structure of integrated supersymmetric nonlinear dynamic systems on the reduced invariant subvarieties
by: Pritula , M. M., et al.
Published: (1992) -
Quantum Lee algebra of currents is a universal algebraic structure of symmetries of quite integrable dynamic systems
by: Fil , B. N., et al.
Published: (1988)