The Extended Toda Hierarchy
Exactly Solvable and Integrable Systems
2007-05-23 v2 High Energy Physics - Theory
Differential Geometry
Abstract
We present the Lax pair formalism for certain extension of the continuous limit of the classical Toda lattice hierarchy, provide a well defined notion of tau function for its solutions, and give an explicit formulation of the relationship between the topological sigma model and the extended Toda hierarchy. We also establish an equivalence of the latter with certain extension of the nonlinear Schr\"odinger hierarchy.
Keywords
Cite
@article{arxiv.nlin/0306060,
title = {The Extended Toda Hierarchy},
author = {Guido Carlet and Boris Dubrovin and Youjin Zhang},
journal= {arXiv preprint arXiv:nlin/0306060},
year = {2007}
}
Comments
23 pages, a remark at the end of Section 4 added