A new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$

Details A new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$ A new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$

2002-03-18

arxiv.org/abs/math-ph/0203029v1

Physics

Mathematical Physics

13 pages

Scientific paper

A new Lax pair for the sixth Painlev\'e equation $P_{VI}$ is constructed in
the framework of the loop algebra $\mathfrak{so}(8)[z,z^{-1}]$. The whole
affine Weyl group symmetry of $P_{VI}$ is interpreted as gauge transformations
of the corresponding linear problem.

Affiliated with

Also associated with

No associations

Rating

A new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$ 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 A new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new Lax pair for the sixth Painlevé equation associated with $\hat{\mathfrak{so}}(8)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575970