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

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

Algebraic structure of the gradient‐holonomic algorithm for Lax integrable nonlinear dynamical systems. I

1994 ◽  
Vol 35 (4) ◽  
pp. 1763-1777 ◽  
Author(s):  
A. K. Prykarpatsky ◽  
V. Hr. Samoilenko ◽  
R. I. Andrushkiw ◽  
Yu. O. Mitropolsky ◽  
M. M. Prytula
Keyword(s):  
Dynamical Systems ◽  
Algebraic Structure ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical

Nonlinear Dynamical Systems of Mathematical Physics

10.1142/7960 ◽  
2011 ◽  
Author(s):  
Denis Blackmore ◽  
Anatoliy K Prykarpatsky ◽  
Valeriy Hr Samoylenko
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Dynamical Systems ◽  
Mathematical Physics ◽  
Nonlinear Dynamical
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