Ermakov systems, velocity dependent potentials, and nonlinear superposition
- 1 January 1981
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 22 (1) , 91-95
- https://doi.org/10.1063/1.524758
Abstract
We derive new Ermakov systems with velocity-dependent potentials. The extended Ermakov system presented contains all known one-dimensional cases and many new systems. These Ermakov systems lead to a nonlinear superposition law for the solutions.Keywords
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