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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146524 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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 |