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nlin.SI2022
Consistency around a cube property of Hirota's discrete KdV equation and the lattice sine-Gordon equation
Nobutaka Nakazono
It has been unknown whether Hirota's discrete Korteweg-de Vries equation and the lattice sine-Gordon equation have the consistency around a cube (CAC) property. In this paper, we s…
nlin.SI2022
Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
Nobutaka Nakazono
The lattice sine-Gordon equation is an integrable partial difference equation on , which approaches the sine-Gordon equation in a continuum limit. In this paper, we…