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- W1969495364 abstract "A general elliptic $Ntimes N$ matrix Lax scheme is presented, leading to two classes of elliptic lattice systems, one which we interpret as the higher-rank analogue of the Landau-Lifschitz equations, while the other class we characterize as the higher-rank analogue of the lattice Krichever-Novikov equation (or Adler's lattice). We present the general scheme, but focus mainly of the latter type of models. In the case $N=2$ we obtain a novel Lax representation of Adler's elliptic lattice equation in its so-called 3-leg form. The case of rank $N=3$ is analysed using Cayley's hyperdeterminant of format $2times2times2$, yielding a multi-component system of coupled 3-leg quad-equations." @default.
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- W1969495364 date "2014-12-22" @default.
- W1969495364 modified "2023-09-25" @default.
- W1969495364 title "On elliptic Lax systems on the lattice and a compound theorem for hyperdeterminants" @default.
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- W1969495364 doi "https://doi.org/10.1088/1751-8113/48/3/035206" @default.
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