Two extensions of 1D Toda hierarchy

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.

latex2e, usepackage amsmath,amssymb, 19 pages, no figure; (v2) typos corrected, final version for publication

References in corpus (1)

• The Extended Bigraded Toda hierarchy

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