The lattice sine-Gordon equation as a superposition formula for an NLS-type system

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Abstract

We 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 is 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.
Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalSymmetry, Integrability and Geometry: Methods and Applications
Volume17
Issue number108
DOIs
Publication statusPublished - 21 Dec 2021

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