Yang-Baxter maps and symmetries of integrable equations on quad-graphs

Details Yang-Baxter maps and symmetries of integrable equations on quad-graphs Yang-Baxter maps and symmetries of integrable equations on quad-graphs

2006-05-08

arxiv.org/abs/math/0605206v1

Mathematics

Quantum Algebra

20 pages, 5 figures

Scientific paper

A connection between the Yang-Baxter relation for maps and the multi-dimensional consistency property of integrable equations on quad-graphs is investigated. The approach is based on the symmetry analysis of the corresponding equations. It is shown that the Yang-Baxter variables can be chosen as invariants of the multi-parameter symmetry groups of the equations. We use the classification results by Adler, Bobenko and Suris to demonstrate this method. Some new examples of Yang-Baxter maps are derived in this way from multi-field integrable equations.

Affiliated with

Also associated with

No associations

Rating

Yang-Baxter maps and symmetries of integrable equations on quad-graphs 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 Yang-Baxter maps and symmetries of integrable equations on quad-graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yang-Baxter maps and symmetries of integrable equations on quad-graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463680