The list of integrable Hirota-Miwa equations is reduced from 13 to 7 by point transformations, one new equation is derived from semi-discrete Toda lattices via characteristic integrals, and Lax pairs are supplied for all seven.
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Discrete integrable equations with three independent variables
The list of integrable Hirota-Miwa equations is reduced from 13 to 7 by point transformations, one new equation is derived from semi-discrete Toda lattices via characteristic integrals, and Lax pairs are supplied for all seven.