Optimal control

Symmetries and decomposition of systems of partial differential equations and control systems with distributed parameters

V. I. Elkin

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 119333, Moscow, Russia

Abstract: Symmetries of partial differential equations are examined by applying differential-geometric and algebraic methods of the theory of dynamical systems with control.

Key words: symmetry group, Lie algebra.

UDC: 517.951

Received: 08.08.2023
Accepted: 05.03.2024

DOI: 10.31857/S0044466924060048

 English version: Computational Mathematics and Mathematical Physics, 2024, 64:6, 1186–1192

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