Abstract
Abstract
There is a recently discovered formulation of the multidimensional consistency integrability condition for lattice equations, called consistency-around-a-face-centered-cube (CAFCC), which is applicable to equations defined on a vertex and its four nearest neighbours on the square lattice. This paper introduces a method of deriving Lax matrices for the equations which satisfy CAFCC. This method gives novel Lax matrices for such equations, which include previously known equations of discrete Toda-, or Laplace-type, as well as newer equations which have only appeared in the context of CAFCC.
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
2 articles.
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1. Discrete integrable equations on face-centred cubics: consistency and Lax pairs of corner equations;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-04
2. Algebraic entropy for face-centered quad equations;Journal of Physics A: Mathematical and Theoretical;2021-10-19