On Kernel Formulas and Dispersionless Hirota Equations
Exactly Solvable and Integrable Systems
2007-05-23 v2
Abstract
We rederive dispersionless Hirota equations of the dispersionless Toda hierarchy from the method of kernel formula provided by Carroll and Kodama. We then apply the method to derive dispersionless Hirota equations of the extended dispersionless BKP(EdBKP) hierarchy proposed by Takasaki. Moreover, we verify associativity equations (WDVV equations) in the EdBKP hierarchy from dispersionless Hirota equations and give a realization of associative algebra with structure constants expressed in terms of residue formula.
Keywords
Cite
@article{arxiv.nlin/0605042,
title = {On Kernel Formulas and Dispersionless Hirota Equations},
author = {Yu-Tung Chen and Ming-Hsien Tu},
journal= {arXiv preprint arXiv:nlin/0605042},
year = {2007}
}
Comments
30 pages, minor corrections, references added