Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this paper we discuss the continuous symmetries of these systems,...
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148563 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice / A.P. Fordy, P. Xenitidis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148563 |
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irk-123456789-1485632019-02-19T01:29:11Z Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice Fordy, A.P. Xenitidis, P. We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this paper we discuss the continuous symmetries of these systems, their reductions and the relation of the latter to the Bogoyavlensky equation. 2017 Article Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice / A.P. Fordy, P. Xenitidis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K05; 37K10; 37K35; 39A05 DOI:10.3842/SIGMA.2017.051 http://dspace.nbuv.gov.ua/handle/123456789/148563 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 recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this paper we discuss the continuous symmetries of these systems, their reductions and the relation of the latter to the Bogoyavlensky equation. |
| format |
Article |
| author |
Fordy, A.P. Xenitidis, P. |
| spellingShingle |
Fordy, A.P. Xenitidis, P. Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Fordy, A.P. Xenitidis, P. |
| author_sort |
Fordy, A.P. |
| title |
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice |
| title_short |
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice |
| title_full |
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice |
| title_fullStr |
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice |
| title_full_unstemmed |
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice |
| title_sort |
self-dual systems, their symmetries and reductions to the bogoyavlensky lattice |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148563 |
| citation_txt |
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice / A.P. Fordy, P. Xenitidis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 6 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT fordyap selfdualsystemstheirsymmetriesandreductionstothebogoyavlenskylattice AT xenitidisp selfdualsystemstheirsymmetriesandreductionstothebogoyavlenskylattice |
| first_indexed |
2023-05-20T17:30:51Z |
| last_indexed |
2023-05-20T17:30:51Z |
| _version_ |
1796153469713776640 |