Abstract
Perturbations of the classical Bateman Lagrangian preserving a certain subalgebra of Noether symmetries are studied, and conservative perturbations are characterized by the Lie algebra sl(2, ℝ) ⊕ so(2). Non-conservative albeit integrable perturbations are determined by the simple Lie algebra sl(2,ℝ), showing further the relation of the corresponding non-linear systems with the notion of generalized Ermakov systems.
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Campoamor-Stursberg, R. Symmetry-preserving perturbations of the Bateman Lagrangian and dissipative systems. Phys. Atom. Nuclei 80, 321–328 (2017). https://doi.org/10.1134/S1063778817020107
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DOI: https://doi.org/10.1134/S1063778817020107