Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
The lattice sine-Gordon equation is an integrable partial difference equation on ℤ², which approaches the sine-Gordon equation in a continuum limit. In this paper, we show that the non-autonomous lattice sine-Gordon equation has the consistency around a broken cube property, as well as its autonomou...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211636 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. Nobutaka Nakazono. SIGMA 18 (2022), 032, 8 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712963069116416 |
|---|---|
| author | Nakazono, Nobutaka |
| author_facet | Nakazono, Nobutaka |
| citation_txt | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. Nobutaka Nakazono. SIGMA 18 (2022), 032, 8 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The lattice sine-Gordon equation is an integrable partial difference equation on ℤ², which approaches the sine-Gordon equation in a continuum limit. In this paper, we show that the non-autonomous lattice sine-Gordon equation has the consistency around a broken cube property, as well as its autonomous version. Moreover, we construct two new Lax pairs of the non-autonomous case by using the consistency property.
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| first_indexed | 2026-03-19T20:29:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211636 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T20:29:55Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nakazono, Nobutaka 2026-01-07T13:42:42Z 2022 Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. Nobutaka Nakazono. SIGMA 18 (2022), 032, 8 pages 1815-0659 2020 Mathematics Subject Classification: 37K10; 39A14; 39A45 arXiv:2201.11264 https://nasplib.isofts.kiev.ua/handle/123456789/211636 https://doi.org/10.3842/SIGMA.2022.032 The lattice sine-Gordon equation is an integrable partial difference equation on ℤ², which approaches the sine-Gordon equation in a continuum limit. In this paper, we show that the non-autonomous lattice sine-Gordon equation has the consistency around a broken cube property, as well as its autonomous version. Moreover, we construct two new Lax pairs of the non-autonomous case by using the consistency property. This research was supported by a JSPS KAKENHI Grant Number JP19K14559. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property Article published earlier |
| spellingShingle | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property Nakazono, Nobutaka |
| title | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property |
| title_full | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property |
| title_fullStr | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property |
| title_full_unstemmed | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property |
| title_short | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property |
| title_sort | properties of the non-autonomous lattice sine-gordon equation: consistency around a broken cube property |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211636 |
| work_keys_str_mv | AT nakazononobutaka propertiesofthenonautonomouslatticesinegordonequationconsistencyaroundabrokencubeproperty |