Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
arXiv:2201.11264 · doi:10.3842/SIGMA.2022.032
Abstract
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 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.
Some text overlap with our paper arXiv:2102.00684 is caused by our use here of basically the same definition of the CABC property, but the results are totally different