Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
| dc.contributor.author | Nakazono, Nobutaka | |
| dc.date.accessioned | 2026-01-07T13:42:42Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | 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. | |
| dc.description.sponsorship | This research was supported by a JSPS KAKENHI Grant Number JP19K14559. | |
| dc.identifier.citation | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. Nobutaka Nakazono. SIGMA 18 (2022), 032, 8 pages | |
| dc.identifier.doi | https://doi.org/10.3842/SIGMA.2022.032 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2020 Mathematics Subject Classification: 37K10; 39A14; 39A45 | |
| dc.identifier.other | arXiv:2201.11264 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/211636 | |
| dc.language.iso | en | |
| dc.publisher | Інститут математики НАН України | |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.status | published earlier | |
| dc.title | Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property | |
| dc.type | Article |
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