The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System

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dc.contributor.authorDemskoi, Dmitry K.
dc.date.accessioned2026-01-02T08:28:51Z
dc.date.issued2021
dc.description.abstractWe treat the lattice sine-Gordon equation and two of its generalised symmetries as a compatible system. Elimination of shifts from the two symmetries of the lattice sine-Gordon equation yields an integrable NLS-type system. An auto-Bäcklund transformation and a superposition formula for the NLS-type system are obtained by elimination of shifts from the lattice sine-Gordon equation and its down-shifted version. We use the obtained formulae to calculate a superposition of two and three elementary solutions.
dc.identifier.citationThe Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System. Dmitry K. Demskoi. SIGMA 17 (2021), 108, 10 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.108
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 35Q51; 35Q55; 37K60
dc.identifier.otherarXiv:2101.04332
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211419
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleThe Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2021, том 17, випуск за цей рік