Journal of Nonlinear Mathematical Physics

Volume 19, Issue 1, March 2013, Pages 27 - 37

On the Recursion Operator for the Noncommutative Burgers Hierarchy

Authors
Sandra Carillo
Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Sez. Matematica, SAPIENZA Università di Roma, Rome, Italy, sandra.carillo@sbai.uniroma1.it, sandra.carillo@uniroma1.it
Cornelia Schiebold
Department of Natural Sciences, Engineering, and Mathematics, Mid Sweden University, S-851 70 Sundsvall, Sweden, Cornelia.Schiebold@miun.se
Received 20 June 2011, Accepted 28 September 2011, Available Online 6 January 2021.
DOI
https://doi.org/10.1142/S1402925112500039How to use a DOI?
Keywords
Burgers equation, noncommutativity, recursion operators, Bäcklund transformations, hereditariness
Abstract

The noncommutative Burgers recursion operator is constructed via the Cole–Hopf transformation, and its structural properties are studied. In particular, a direct proof of its hereditary property is given.

Copyright
© 2012 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
19 - 1
Pages
27 - 37
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1142/S1402925112500039How to use a DOI?
Copyright
© 2012 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  - Sandra Carillo
AU  - Cornelia Schiebold
PY  - 2021
DA  - 2021/01
TI  - On the Recursion Operator for the Noncommutative Burgers Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 27
EP  - 37
VL  - 19
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925112500039
DO  - https://doi.org/10.1142/S1402925112500039
ID  - Carillo2021
ER  -