Generic solutions for some integrable lattice equations

Abstract

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.

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

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• Discrete integrable systems and deformations of associative algebras