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arXiv · 2201.11264

Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property

Nobutaka Nakazono
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Abstract

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.

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Nobutaka Nakazono. 2022-01-27. Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. https://doi.org/10.3842/sigma.2022.032

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