Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$

Details Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$ Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$

2008-07-09

arxiv.org/abs/0807.1474v2

Mathematics

Algebraic Geometry

6 pages

Scientific paper

We find a two-parameter family of ordinary differential systems in dimension five with the affine Weyl group symmetry of type $D_3^{(2)}$. We show its symmetry and holomorphy conditions. This is the second example which gave higher order Painlev\'e type systems of type $D_{3}^{(2)}$. By obtaining its first integrals of polynomial type, we can obtain a two-parameter family of coupled Hamiltonian systems in dimension four with the polynomial Hamiltonian.

Affiliated with

Also associated with

No associations

Rating

Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$ 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 Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688308