Poster Session

Some Properties of a Differential Sequence Based upon the Kummer-Schwarz Equation

Adhir A Maharaj
Durban University of Technology
So Africa
Co-Author(s):    A Maharaj, Andriopoulos & Leach PGL
A recursion operator for the Kummer-Schwarz equation is determined according to the standard definition introduced by Olver. This leads to a sequence with properties less inviting than of a different sequence constructed by a particular generator as was the case for the Riccati equation . We examine the elements of this sequence in terms of the usual properties to be investigated -- symmetries, singularity properties, integrability, alternate sequence.