Two extensions of 1D Toda hierarchy
Exactly Solvable and Integrable Systems
2011-11-08 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The extended Toda hierarchy of Carlet, Dubrovin and Zhang is reconsidered in the light of a 2+1D extension of the 1D Toda hierarchy constructed by Ogawa. These two extensions of the 1D Toda hierarchy turn out to have a very similar structure, and the former may be thought of as a kind of dimensional reduction of the latter. In particular, this explains an origin of the mysterious structure of the bilinear formalism proposed by Milanov.
Cite
@article{arxiv.1002.4688,
title = {Two extensions of 1D Toda hierarchy},
author = {Kanehisa Takasaki},
journal= {arXiv preprint arXiv:1002.4688},
year = {2011}
}
Comments
latex2e, usepackage amsmath,amssymb, 19 pages, no figure; (v2) typos corrected, final version for publication