vix.ing · top · new · best · stats · spec

On the Ermakov systems and nonlocal symmetries

2009/03/13 by Festus Irimisose Arunaye, F. I. Arunaye, Arunaye, F. I.
Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math.DS #msc:34C14 #msc:37J15 #msc:70s10 #msc:76M60

paper · pdf · doi:10.48550/arxiv.0903.2412

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

arxiv created 2009/08/17 · arxiv updated 2009/12/01

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.

Related