Journal of Nonlinear Mathematical Physics

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Volume 26, Issue 1, December 2018, Pages 54 - 68

Solving the constrained modified KP hierarchy by gauge transformations

Authors
Huizhan Chen, Lumin Geng, Na Li, Jipeng Cheng*
School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China,chengjp@cumt.edu.cn
*Corresponding author.
Corresponding Author
Jipeng Cheng
Received 17 February 2018, Accepted 14 June 2018, Available Online 6 January 2021.
DOI
10.1080/14029251.2019.1544787How to use a DOI?
Keywords
The constrained mKP hierarchy; gauge transformations; successive applications
Abstract

In this paper, we mainly investigate two kinds of gauge transformations for the constrained modified KP hierarchy in Kupershmidt-Kiso version. The corresponding gauge transformations are required to keep not only the Lax equation but also the Lax operator. For this, by selecting the special generating eigenfunction and adjoint eigenfunction, the elementary gauge transformation operators of modified KP hierarchy TD(Φ)=(Φ−1)x−1∂Φ−1 and TI(Ψ) = Ψ−1 ∂ −1Ψx, become the ones in the constrained case. Finally, the corresponding successive applications of TD and TI on the eigenfunction Φ and the adjoint eigenfunction Ψ are discussed.

Copyright
© 2019 The Authors. Published by Atlantis 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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 1
Pages
54 - 68
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1544787How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis 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  - Huizhan Chen
AU  - Lumin Geng
AU  - Na Li
AU  - Jipeng Cheng
PY  - 2021
DA  - 2021/01/06
TI  - Solving the constrained modified KP hierarchy by gauge transformations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 54
EP  - 68
VL  - 26
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2019.1544787
DO  - 10.1080/14029251.2019.1544787
ID  - Chen2021
ER  -