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Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy

Runliang LIN Tsinghua University, Beijing T.C Cao Tsinghua University, Beijing X.J. Liu China Agricultural University Y.B. Zeng Tsinghua University, Beijing

Mathematical Physics mathscidoc:1608.22019

Theoretical and Mathematical Physics, 186, (3), 307-319, 2016
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.
BKP hierarchy; self-consistent source; bilinear identity; tau-function; Hirota's bilinear form
[ Download ] [ 2016-08-30 12:17:54 uploaded by rlin ] [ 709 downloads ] [ 0 comments ] 
@inproceedings{runliang2016bilinear,
  title={Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy},
  author={Runliang LIN, T.C Cao, X.J. Liu, and Y.B. Zeng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160830121754574812546},
  booktitle={Theoretical and Mathematical Physics},
  volume={186},
  number={3},
  pages={307-319},
  year={2016},
}
Runliang LIN, T.C Cao, X.J. Liu, and Y.B. Zeng. Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy. 2016. Vol. 186. In Theoretical and Mathematical Physics. pp.307-319. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160830121754574812546.
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