Generic solutions for some integrable lattice equations
Abstract
We derive the expressions for ψ-functions and generic solutions of lattice principal chiral equations, the lattice KP hierarchy, and the hierarchy including lattice N-wave type equations. The τ-function of n free fermions plays a fundamental role in this context. Miwa's coordinates in our case appear as the lattice parameters.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- May 1994
- DOI:
- 10.1007/BF01016131
- arXiv:
- arXiv:hep-th/9401080
- Bibcode:
- 1994TMP....99..505B
- Keywords:
-
- High Energy Physics - Theory;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- The text of the talk at NEEDS-93 conference, Gallipoli, Italy, September-93, LaTeX, 8 pages. Several typos and minor errors are corrected