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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148563 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862557668513677312 |
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| author | Fordy, A.P. Xenitidis, P. |
| author_facet | Fordy, A.P. Xenitidis, P. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-25T22:45:06Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148563 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T22:45:06Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fordy, A.P. Xenitidis, P. 2019-02-18T15:52:28Z 2019-02-18T15:52:28Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/148563 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. PX acknowledges support from the EPSRC grant Structure of partial difference equations with
 continuous symmetries and conservation laws, EP/I038675/1. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice Article published earlier |
| spellingShingle | Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice Fordy, A.P. Xenitidis, P. |
| title | 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_short | Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice |
| title_sort | self-dual systems, their symmetries and reductions to the bogoyavlensky lattice |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148563 |
| work_keys_str_mv | AT fordyap selfdualsystemstheirsymmetriesandreductionstothebogoyavlenskylattice AT xenitidisp selfdualsystemstheirsymmetriesandreductionstothebogoyavlenskylattice |