Geodesic
The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: quad-equation, NLS-type system, auto-Bäcklund transformation. 
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     author = {Dmitry K. Demskoi},
     title = {The {Lattice} {Sine-Gordon} {Equation} as a {Superposition} {Formula} for an {NLS-Type} {System}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a107/}
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Dmitry K. Demskoi. The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a107/

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