Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy
We consider the extended discrete KP hierarchy and show that similarity reduction of its subhierarchies lead to purely discrete equations with dependence on some number of parameters together with equations governing deformations with respect to these parameters. It is written down discrete equation...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146423 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy / A.K. Svinin // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1464232019-02-10T01:25:45Z Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy Svinin, A.K. We consider the extended discrete KP hierarchy and show that similarity reduction of its subhierarchies lead to purely discrete equations with dependence on some number of parameters together with equations governing deformations with respect to these parameters. It is written down discrete equations which naturally generalize the first discrete Painlevé equation dPI in a sense that autonomous version of these equations admit the limit to the first Painlevé equation. It is shown that each of these equations describes Bäcklund transformations of Veselov-Shabat periodic dressing lattices with odd period known also as Noumi-Yamada systems of type A2(n-1)⁽¹⁾. 2006 Article Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy / A.K. Svinin // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K10 http://dspace.nbuv.gov.ua/handle/123456789/146423 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 consider the extended discrete KP hierarchy and show that similarity reduction of its subhierarchies lead to purely discrete equations with dependence on some number of parameters together with equations governing deformations with respect to these parameters. It is written down discrete equations which naturally generalize the first discrete Painlevé equation dPI in a sense that autonomous version of these equations admit the limit to the first Painlevé equation. It is shown that each of these equations describes Bäcklund transformations of Veselov-Shabat periodic dressing lattices with odd period known also as Noumi-Yamada systems of type A2(n-1)⁽¹⁾. |
| format |
Article |
| author |
Svinin, A.K. |
| spellingShingle |
Svinin, A.K. Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Svinin, A.K. |
| author_sort |
Svinin, A.K. |
| title |
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy |
| title_short |
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy |
| title_full |
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy |
| title_fullStr |
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy |
| title_full_unstemmed |
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy |
| title_sort |
integrable discrete equations derived by similarity reduction of the extended discrete kp hierarchy |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146423 |
| citation_txt |
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy / A.K. Svinin // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT svininak integrablediscreteequationsderivedbysimilarityreductionoftheextendeddiscretekphierarchy |
| first_indexed |
2023-05-20T17:24:47Z |
| last_indexed |
2023-05-20T17:24:47Z |
| _version_ |
1796153240551686144 |