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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| Дата: | 2014 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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 |
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irk-123456789-1468502019-02-12T01:24:13Z Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation Ormerod, C.M. 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. 2014 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146850 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ormerod, C.M. |
| spellingShingle |
Ormerod, C.M. Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ormerod, C.M. |
| author_sort |
Ormerod, C.M. |
| title |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT ormerodcm symmetriesandspecialsolutionsofreductionsofthelatticepotentialkdvequation |
| first_indexed |
2023-05-20T17:25:48Z |
| last_indexed |
2023-05-20T17:25:48Z |
| _version_ |
1796153277679665152 |