N. Euler, P. G. L. Leach, “Aspects of proper differential sequences of ordinary differential equations”, TMF, 2009, Volume 159, Number 1,Pages <nobr>64

This article is cited in 12 papers

Aspects of proper differential sequences of ordinary differential equations

N. Euler^a, P. G. L. Leach^b

^a Luleå University of Technology
^b School of Mathematical Sciences, University of KwaZulu-Natal

Abstract: We define a proper differential sequence of ordinary differential equations and introduce a method for deriving an alternate sequence of integrals for such a sequence. We describe some general properties, illustrated by several examples.

Keywords: sequence of ordinary differential equations, recursion operator, symmetry analysis of ordinary differential equations, integrable ordinary differential equation.

Received: 22.05.2008
Revised: 28.08.2008

DOI: 10.4213/tmf6333