Journal of Nonlinear Mathematical Physics

Volume 16, Issue Supplement 1, March 2013, Pages 157 - 164

A Novel Riccati Sequence

Authors
P. G. L. Leach
School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001 Durban 4000, Republic of South Africa, leachp@ukzn.ac.za, leach@math.aegean.gr
N. Euler
Department of Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden, norbert@sm.luth.se
Received 18 August 2009, Accepted 18 September 2009, Available Online 7 January 2021.
DOI
https://doi.org/10.1142/S1402925109000388How to use a DOI?
Keywords
Differential sequence, recursion operator, Riccati equation, logarithmic singularity
Abstract

Hierarchies of evolution partial differential equations have become well-established in the literature over the last thirty years. More recently sequences of ordinary differential equations have been introduced. Of these perhaps the most notable is the Riccati Sequence which has beautiful singularity, symmetry and integrability properties. We examine a variation of this sequence and find that there are some remarkable changes in properties consequential upon this variation.

Copyright
© 2009 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/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - Supplement 1
Pages
157 - 164
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1142/S1402925109000388How to use a DOI?
Copyright
© 2009 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  - P. G. L. Leach
AU  - N. Euler
PY  - 2021
DA  - 2021/01
TI  - A Novel Riccati Sequence
JO  - Journal of Nonlinear Mathematical Physics
SP  - 157
EP  - 164
VL  - 16
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000388
DO  - https://doi.org/10.1142/S1402925109000388
ID  - Leach2021
ER  -