Group Theoretical Symmetries and Generalized Baecklund Transformations for Integrable Systems
High Energy Physics - Theory
2009-10-22 v1
Abstract
We present a notion of symmetry for 1+1-dimensional integrable systems which is consistent with their group theoretic description and reproduces in special cases the known Baecklund transformation for the generalized Korteweg-deVries hierarchies. We also apply it to the relativistic invariance of the Leznov-Saveliev systems.
Cite
@article{arxiv.hep-th/9209004,
title = {Group Theoretical Symmetries and Generalized Baecklund Transformations for Integrable Systems},
author = {G. Haak},
journal= {arXiv preprint arXiv:hep-th/9209004},
year = {2009}
}
Comments
17 pages (LaTeX)