A note on the extended dToda hierarchy
Exactly Solvable and Integrable Systems
2011-12-21 v1
Abstract
We give a derivation of dispersionless Hirota equations for the extended dispersionless Toda hierarchy. We show that the dispersionless Hirota equations are nothing but a direct consequence of the genus-zero topological recursion relation for the topological model. Using the dispersionless Hirota equations we compute the two point functions and express the result in terms of Catalan number.
Cite
@article{arxiv.1112.4569,
title = {A note on the extended dToda hierarchy},
author = {Niann-Chern Lee and Ming-Hsien Tu},
journal= {arXiv preprint arXiv:1112.4569},
year = {2011}
}
Comments
Latex, 16 pages