Quantum lie algebra of currents ? The universal algebraic structure of symmetries of completely integrable dynamical systems

Ukrainian Mathematical Journal ◽

10.1007/bf01057184 ◽

1989 ◽

Vol 40 (6) ◽

pp. 645-649

Author(s):

B. N. Fil' ◽

A. K. Prikarpatskii ◽

N. N. Pritula

Keyword(s):

Dynamical Systems ◽

Lie Algebra ◽

Algebraic Structure ◽

Completely Integrable ◽

Integrable Dynamical Systems

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Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics

Theoretical and Mathematical Physics ◽

10.1007/bf01017166 ◽

1988 ◽

Vol 75 (1) ◽

pp. 329-339 ◽

Author(s):

N. N. Bogolyubov ◽

A. K. Prikarpatskii

Keyword(s):

Dynamical Systems ◽

Lie Algebra ◽

Algebraic Structure ◽

Nonlinear Dynamical Systems ◽

Mathematical Physics ◽

Nonlinear Dynamical ◽

Completely Integrable ◽

Quantum Current

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Two-dimensional exactly and completely integrable dynamical systems

Communications in Mathematical Physics ◽

10.1007/bf01219526 ◽

1983 ◽

Vol 89 (1) ◽

pp. 59-75 ◽

Author(s):

A. N. Leznov ◽

M. V. Saveliev

Keyword(s):

Dynamical Systems ◽

Two Dimensional ◽

Completely Integrable ◽

Integrable Dynamical Systems

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Anisotropic Bose-Einstein condensates and completely integrable dynamical systems

Physical Review A ◽

10.1103/physreva.65.033603 ◽

2002 ◽

Vol 65 (3) ◽

Author(s):

F. Haas

Keyword(s):

Dynamical Systems ◽

Completely Integrable ◽

Integrable Dynamical Systems ◽

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Differential-geometric structure and spectral properties of nonlinear completely integrable dynamical systems of the Mel'nikov type

Ukrainian Mathematical Journal ◽

10.1007/bf01065059 ◽

1990 ◽

Vol 42 (5) ◽

pp. 579-583 ◽

Author(s):

V. G. Samoilenko

Keyword(s):

Dynamical Systems ◽

Geometric Structure ◽

Spectral Properties ◽

Completely Integrable ◽

Integrable Dynamical Systems

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Completely integrable dynamical systems of Hopf–Langford type

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105464 ◽

2021 ◽

Vol 92 ◽

pp. 105464

Author(s):

Svetoslav G. Nikolov ◽

Vassil M. Vassilev

Keyword(s):

Dynamical Systems ◽

Completely Integrable ◽

Integrable Dynamical Systems

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Separability of completely integrable dynamical systems admitting alternative Lagrangian descriptions

Letters in Mathematical Physics ◽

10.1007/bf00400712 ◽

1985 ◽

Vol 9 (2) ◽

pp. 141-148 ◽

Author(s):

C. Ferrario ◽

G. Lo Vecchio ◽

G. Marmo ◽

G. Morandi

Keyword(s):

Dynamical Systems ◽

Completely Integrable ◽

Integrable Dynamical Systems

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Algebras of symmetries of completely integrable dynamical systems

Ukrainian Mathematical Journal ◽

10.1007/bf01056471 ◽

1988 ◽

Vol 40 (2) ◽

pp. 164-168 ◽

Author(s):

V. G. Samoilenko ◽

B. N. Fil'

Keyword(s):

Dynamical Systems ◽

Completely Integrable ◽

Integrable Dynamical Systems

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On Completely Integrable Calogero-Type Discretizations of Nonlinear Lax Integrable Dynamical Systems and Related Markov-Type Coadjoint Orbits

Ukrainian Mathematical Journal ◽

10.1007/s11253-016-1255-9 ◽

2016 ◽

Vol 68 (5) ◽

pp. 746-755

Author(s):

A. K. Prykarpats’kyi

Keyword(s):

Dynamical Systems ◽

Coadjoint Orbits ◽

Markov Type ◽

Completely Integrable ◽

Integrable Dynamical Systems

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Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems

Computer Algebra in Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-15274-0_13 ◽

2010 ◽

pp. 148-161

Author(s):

Zoia Kostova ◽

Nikolay Kostov ◽

Vladimir Gerdjikov

Keyword(s):

Dynamical Systems ◽

Computer Algebra ◽

Completely Integrable ◽

Integrable Dynamical Systems

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Jacobi polynomials and Lax representation for completely integrable dynamical systems

Ukrainian Mathematical Journal ◽

10.1007/bf01056181 ◽

1994 ◽

Vol 46 (8) ◽

pp. 1198-1201

Author(s):

A. Yu. Kondrat'ev ◽

V. Z. �nol'skii

Keyword(s):

Dynamical Systems ◽

Jacobi Polynomials ◽

Lax Representation ◽

Completely Integrable ◽

Integrable Dynamical Systems

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