On Kernel Formulas and Dispersionless Hirota Equations
可精确求解与可积系统
2007-05-23 v2
摘要
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.
引用
@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}
}
备注
30 pages, minor corrections, references added