Journal of Nonlinear Mathematical Physics

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Volume 20, Issue 2, May 2013, Pages 214 - 228

Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy

Authors
Runliang Lin1, , Xiaojun Liu2, *, Yunbo Zeng1,
1Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P.R. China
2Department of Applied Mathematics, China Agricultural University, Beijing 100083, P.R. China
Corresponding Author
Xiaojun Liu
Received 1 November 2012, Accepted 5 March 2013, Available Online 6 January 2021.
DOI
10.1080/14029251.2013.805571How to use a DOI?
Keywords
KP hierarchy; bilinear identity; Hirota's bilinear form
Abstract

In this paper, we construct the bilinear identities for the wave functions of an extended Kadomtsev-Petviashvili (KP) hierarchy, which is the KP hierarchy with particular extended flows. By introducing an auxiliary parameter, whose flow corresponds to the so-called squared eigenfunction symmetry of KP hierarchy, we find the tau-function for this extended KP hierarchy. It is shown that the bilinear identities will generate all the Hirota's bilinear equations for the zero-curvature forms of the extended KP hierarchy, which includes two types of KP equation with self-consistent sources (KPSCS). The Hirota's bilinear equations obtained in this paper for the KPSCS are in different forms by comparing with the existing results.

Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - 2
Pages
214 - 228
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2013.805571How to use a DOI?
Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Runliang Lin
AU  - Xiaojun Liu
AU  - Yunbo Zeng
PY  - 2021
DA  - 2021/01/06
TI  - Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 214
EP  - 228
VL  - 20
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.805571
DO  - 10.1080/14029251.2013.805571
ID  - Lin2021
ER  -