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Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
Symmetry, integrability and geometry: methods and applications, Tome 18 (2022) Cet article a éte moissonné depuis la source Math-Net.Ru

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The lattice sine-Gordon equation is an integrable partial difference equation on ${\mathbb Z}^2$, 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.
Keywords: lattice sine-Gordon equation, integrable systems, partial difference equations.
Mots-clés : Lax pair 
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     author = {Nobutaka Nakazono},
     title = {Properties of the {Non-Autonomous} {Lattice} {Sine-Gordon} {Equation:} {Consistency} around a {Broken} {Cube} {Property}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2022},
     volume = {18},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a31/}
}
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Nobutaka Nakazono. Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. Symmetry, integrability and geometry: methods and applications, Tome 18 (2022). http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a31/

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