Generic solutions for some integrable lattice equations

Physics – High Energy Physics – High Energy Physics - Theory

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The text of the talk at NEEDS-93 conference, Gallipoli, Italy, September-93, LaTeX, 8 pages. Several typos and minor errors ar

Scientific paper

10.1007/BF01016131

We derive the expressions for $\psi$-functions and generic solutions of
lattice principal chiral equations, lattice KP hierarchy and hierarchy
including lattice N-wave type equations. $\tau$-function of $n$ free fermions
plays fundamental role in this context. Miwa's coordinates in our case appear
as the lattice parameters.

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