Journal of Nonlinear Mathematical Physics

Volume 18, Issue 4, December 2011, Pages 483 - 490

The Transformation between the AKNS Hierarchy and the KN Hierarchy with Self-Consistent Sources

Authors
Qi Li*, Wen Zhang
State Key Laboratory Breeding Base of Nuclear Resources and Environment, East China Institute of Technology, Nanchang 330013, P. R. China
Department of Mathematics, East China Institute of Technology, Fuzhou, Jiangxi 344000, P. R. China
Qiu-Yuan Duan
Department of Mathematics, Fuzhou Vocational College of Technology, Fuzhou, Jiangxi 344000, P. R. China
Deng-Yuan Chen
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China
Received 7 March 2011, Accepted 20 August 2011, Available Online 7 January 2021.
DOI
10.1142/S1402925111001775How to use a DOI?
Keywords
The AKNS hierarchy; the KN hierarchy; self-consistent sources; transformation
Abstract

It is shown that the AKNS hierarchy with self-consistent sources can transform to KN hierarchy with self-consistent sources through a transformation operator and gauge transformation. Besides, there exists transformation in their conservation laws and Hamiltonian structures.

Copyright
© 2011 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
18 - 4
Pages
483 - 490
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925111001775How to use a DOI?
Copyright
© 2011 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

TY  - JOUR
AU  - Qi Li
AU  - Wen Zhang
AU  - Qiu-Yuan Duan
AU  - Deng-Yuan Chen
PY  - 2021
DA  - 2021/01/07
TI  - The Transformation between the AKNS Hierarchy and the KN Hierarchy with Self-Consistent Sources
JO  - Journal of Nonlinear Mathematical Physics
SP  - 483
EP  - 490
VL  - 18
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001775
DO  - 10.1142/S1402925111001775
ID  - Li2021
ER  -