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Bianchi (hyper-)cubes and a geometric unification of the Hirota and Miwa equations

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Discrete Integrable Systems

We present a geometric and algebraic way of unifying two discrete master equations of soliton theory, namely the dKP (Hirota) and dBKP (Miwa) equations. We demonstrate that so-called Cox lattices encapsulate Bianchi (hyper-)cubes associated with either simultaneous solutions of a novel 14-point and the dBKP equations or solutions of the dKP equation, depending on whether the Cox lattices are generic or degenerate.

This talk is part of the Isaac Newton Institute Seminar Series series.

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