English

On the Ermakov systems and nonlocal symmetries

Dynamical Systems 2009-08-18 v3

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.

Keywords

Cite

@article{arxiv.0903.2412,
  title  = {On the Ermakov systems and nonlocal symmetries},
  author = {F. I. Arunaye},
  journal= {arXiv preprint arXiv:0903.2412},
  year   = {2009}
}

Comments

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