On the Ermakov systems and nonlocal symmetries

Abstract

Symmetry analysis of Ermakov systems has attracted enormous treatments in recent times. In this paper we consider three classes of the Ermakov systems and obtain their nonlocal symmetries using a simple algebraic reduction process. We observed that these nonlocal symmetries are new to the literature.

Revised copy, 8 pages, submitted to J. Nonlinear Math. Phys

References in corpus (1)

• On the Reduction Process of Nucci-Reduce Algorithm for Computing Nonlocal Symmetries of Dynamical Systems:A case study of the Kepler and Kepler-related problems

Cited by in corpus (1)

• Three classes of Ermakov systems and nonlocal symmetries