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Discrete KP equation with self-consistent sources

Adam Doliwa University of Warmia and Mazury in Olsztyn, Poland Runliang LIN Tsinghua University, Beijing, China

Mathematical Physics mathscidoc:1702.22011

Physics Letters A, 378, 1925, 2014
We show that the discrete Kadomtsev--Petviashvili (KP) equation with sources obtained in \cite{Hu2006} by the "source generalization" method can be incorporated into the squared eigenfunctions symmetry extension procedure. Moreover, using the known correspondence between Darboux-type transformations and additional independent variables, we demonstrate that the equation with sources can be derived from Hirota's discrete KP equations but in a space of bigger dimension. In this way we uncover the origin of the source terms as coming from multidimensional consistency of the Hirota system itself.
integrable systems with self-consistent sources; Kadomtsev--Petviashvili hierarchy; Darboux transformations; Hirota equation; multidimensional consistency
[ Download ] [ 2017-02-17 16:34:17 uploaded by rlin ] [ 805 downloads ] [ 0 comments ] 
@inproceedings{adam2014discrete,
  title={Discrete KP equation with self-consistent sources},
  author={Adam Doliwa, and Runliang LIN},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170217163417467177450},
  booktitle={Physics Letters A},
  volume={378},
  pages={1925},
  year={2014},
}
Adam Doliwa, and Runliang LIN. Discrete KP equation with self-consistent sources. 2014. Vol. 378. In Physics Letters A. pp.1925. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170217163417467177450.
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