On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equ...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2010
Main Author: Startsev, S.Ya.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146524
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On Non-Point Invertible Transformations of Difference and Differential-Difference Equations / S. Ya. Startsev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 20 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
_version_ 1862565323499110400
author Startsev, S.Ya.
author_facet Startsev, S.Ya.
citation_txt On Non-Point Invertible Transformations of Difference and Differential-Difference Equations / S. Ya. Startsev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 20 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation.
first_indexed 2025-11-26T00:08:35Z
format Article
fulltext
id nasplib_isofts_kiev_ua-123456789-146524
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-26T00:08:35Z
publishDate 2010
publisher Інститут математики НАН України
record_format dspace
spelling Startsev, S.Ya.
2019-02-09T19:51:14Z
2019-02-09T19:51:14Z
2010
On Non-Point Invertible Transformations of Difference and Differential-Difference Equations / S. Ya. Startsev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 20 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 39A14; 34K99; 37K35
DOI:10.3842/SIGMA.2010.092
https://nasplib.isofts.kiev.ua/handle/123456789/146524
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation.
This work is partially supported by the Russian Foundation for Basic Research (grant number
 10-01-00088-a).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Article
published earlier
spellingShingle On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Startsev, S.Ya.
title On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
title_full On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
title_fullStr On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
title_full_unstemmed On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
title_short On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
title_sort on non-point invertible transformations of difference and differential-difference equations
url https://nasplib.isofts.kiev.ua/handle/123456789/146524
work_keys_str_mv AT startsevsya onnonpointinvertibletransformationsofdifferenceanddifferentialdifferenceequations