Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlev...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2014 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146850 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation / C.M. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 55 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146850 |
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Ormerod, C.M. 2019-02-11T17:11:42Z 2019-02-11T17:11:42Z 2014 Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation / C.M. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 55 назв. — англ. DOI:10.3842/SIGMA.2014.002 1815-0659 2010 Mathematics Subject Classification: 39A10; 37K15; 33C05 https://nasplib.isofts.kiev.ua/handle/123456789/146850 We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlevé equation. Finally, we exploit the simple symmetric form of the reduced equations to find rational and hypergeometric solutions of this discrete Painlevé equation. This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. This research is supported by Australian Research Council Discovery Grant #DP110100077. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation |
| spellingShingle |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation Ormerod, C.M. |
| title_short |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation |
| title_full |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation |
| title_fullStr |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation |
| title_full_unstemmed |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation |
| title_sort |
symmetries and special solutions of reductions of the lattice potential kdv equation |
| author |
Ormerod, C.M. |
| author_facet |
Ormerod, C.M. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlevé equation. Finally, we exploit the simple symmetric form of the reduced equations to find rational and hypergeometric solutions of this discrete Painlevé equation.
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| isbn |
DOI:10.3842/SIGMA.2014.002 |
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146850 |
| citation_txt |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation / C.M. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 55 назв. — англ. |
| work_keys_str_mv |
AT ormerodcm symmetriesandspecialsolutionsofreductionsofthelatticepotentialkdvequation |
| first_indexed |
2025-12-02T02:22:54Z |
| last_indexed |
2025-12-02T02:22:54Z |
| _version_ |
1850861354828693504 |