Addition formulae of discrete KP, q-KP and two-component BKP systems
Exactly Solvable and Integrable Systems
2016-05-04 v1 Mathematical Physics
math.MP
Abstract
In this paper, we constructed the addition formulae for several integrable hierarchies, including the discrete KP, the q-deformed KP, the two-component BKP and the D type Drinfeld-Sokolov hierarchies. With the help of the Hirota bilinear equations and functions of different kinds of KP hierarchies, we prove that these addition formulae are equivalent to these hierarchies. These studies show that the addition formula in the research of the integrable systems has good universality.
Keywords
Cite
@article{arxiv.1602.07164,
title = {Addition formulae of discrete KP, q-KP and two-component BKP systems},
author = {Xu Gao and Chuanzhong Li and Jingsong He},
journal= {arXiv preprint arXiv:1602.07164},
year = {2016}
}
Comments
23 pages, accepted by Communications in Theoretical Physics