More non-Abelian loop Toda solitons
Mathematical Physics
2009-06-22 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We find new solutions, including soliton-like ones, for a special case of non-Abelian loop Toda equations associated with complex general linear groups. We use the method of rational dressing based on an appropriate block-matrix representation suggested by the Z-gradation under consideration. We present solutions in a form of a direct matrix generalization of the Hirota's soliton solution already well-known for the case of Abelian loop Toda systems.
Keywords
Cite
@article{arxiv.0810.1025,
title = {More non-Abelian loop Toda solitons},
author = {Kh. S. Nirov and A. V. Razumov},
journal= {arXiv preprint arXiv:0810.1025},
year = {2009}
}
Comments
13 pages, introduction, concluding remarks and bibliography extended, version to appear in J. Phys. A: Math. Theor