Bianchi (hyper-)cubes and a geometric unification of the Hirota and Miwa equations
Seminar Room 1, Newton Institute
AbstractWe 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.
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