Symmetries of KdV and Loop Groups
solv-int
2008-02-03 v1 High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
Abstract
A simple version of the Segal-Wilson map from the SL(2,C) loop group to a class of solutions of the KdV hierarchy is given, clarifying certain aspects of this map. It is explained how the known symmetries, including Backlund transformations, of KdV arise from simple, field independent, actions on the loop group. A variety of issues in understanding the algebraic structure of Backlund transformations are thus resolved.
Cite
@article{arxiv.solv-int/9606004,
title = {Symmetries of KdV and Loop Groups},
author = {Jeremy Schiff},
journal= {arXiv preprint arXiv:solv-int/9606004},
year = {2008}
}
Comments
36 pages (sorry), LaTeX using a4 documentstyle