The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems

Details The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems

2000-01-25

arxiv.org/abs/nlin/0001054v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX2e,18 pages, 3 postscript figures, submitted to Glasgow Mathematical Journal Trust for Island I proceedinds

Scientific paper

We present a general scheme to derive higher-order members of the Painleve VI (PVI) hierarchy of ODE's as well as their difference analogues. The derivation is based on a discrete structure that sits on the background of the PVI equation and that consists of a system of partial difference equations on a multidimensional lattice. The connection with the isomonodromic Garnier systems is discussed.

Affiliated with

Also associated with

No associations

Rating

The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-309098