Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy
Exactly Solvable and Integrable Systems
2016-05-04 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper, we construct the bilinear identities for the wave functions of an extended B-type Kadomtsev-Petviashvili (BKP) hierarchy, which contains two types of (2+1)-dimensional Sawada-Kotera equation with a self-consistent source (2d-SKwS-I and 2d-SKwS-II). By introducing an auxiliary variable corresponding to the extended flow for the BKP hierarchy, we find the tau-function and the bilinear identities for this extended BKP hierarchy. The bilinear identities can generate all the Hirota's bilinear equations for the zero-curvature forms of this extended BKP hierarchy. As examples, the Hirota's bilinear equations for the two types of 2d-SKwS (both 2d-SKwS-I and 2d-SKwS-II) will be given explicitly.
Keywords
Cite
@article{arxiv.1604.03785,
title = {Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy},
author = {Runliang Lin and Tiancheng Cao and Xiaojun Liu and Yunbo Zeng},
journal= {arXiv preprint arXiv:1604.03785},
year = {2016}
}