The structures underlying soliton solutions in integrable hierarchies
solv-int
2009-10-30 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We point out that a common feature of integrable hierarchies presenting soliton solutions is the existence of some special ``vacuum solutions'' such that the Lax operators evaluated on them, lie in some abelian subalgebra of the associated Kac-Moody algebra. The soliton solutions are constructed out of those ``vacuum solitons'' by the dressing transformation procedure.
Cite
@article{arxiv.solv-int/9701013,
title = {The structures underlying soliton solutions in integrable hierarchies},
author = {Luiz A. Ferreira},
journal= {arXiv preprint arXiv:solv-int/9701013},
year = {2009}
}
Comments
Talk given at the I Latin American Symposium on High Energy Physics, I SILAFAE, Merida, Mexico, November/96, 5 pages, LaTeX, needs aipproc.tex, aipproc.sty, aipproc.cls, available from ftp://ftp.aip.org/ems/tex/macros/proceedings/6x9/