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solv-int1999
Integrable Discrete Geometry: the Quadrilateral Lattice, its Transformations and Reductions
Adam Doliwa, Paolo Maria Santini
We review recent results on Integrable Discrete Geometry. It turns out that most of the known (continuous and/or discrete) integrable systems are particular symmetries of the quadr…
solv-int1999
Lattice geometry of the Hirota equation
Adam Doliwa
Geometric interpretation of the Hirota equation is presented as equation describing the Laplace sequence of two-dimensional quadrilateral lattices. Different forms of the equation…