The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI

Details The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI

2004-06-18

arxiv.org/abs/nlin/0406038v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

28 pages, lateX

Scientific paper

Equivalence is established between a special class of Painleve VI equations parametrized by a conformal dimension $\mu$, time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian solutions give rational solutions of the Painleve VI equation for $\mu=1,2,{...} $.

Affiliated with

Also associated with

No associations

Rating

The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI 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 symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203885