q-Difference equations of KdV type and "Chazy-type" second-degree difference equations

Details q-Difference equations of KdV type and "Chazy-type" second-degree difference equations q-Difference equations of KdV type and "Chazy-type" second-degree difference equations

2008-05-19

arxiv.org/abs/0805.2905v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, 2 figures

Scientific paper

10.1088/1751-8113/41/33/332005

By imposing special compatible similarity constraints on a class of integrable partial $q$-difference equations of KdV-type we derive a hierarchy of second-degree ordinary $q$-difference equations. The lowest (non-trivial) member of this hierarchy is a second-order second-degree equation which can be considered as an analogue of equations in the class studied by Chazy. We present corresponding isomonodromic deformation problems and discuss the relation between this class of difference equations and other equations of Painleve type.

Affiliated with

Also associated with

No associations

Rating

q-Difference equations of KdV type and "Chazy-type" second-degree difference equations 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 q-Difference equations of KdV type and "Chazy-type" second-degree difference equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and q-Difference equations of KdV type and "Chazy-type" second-degree difference equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648444