Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies.
arXiv:q-alg/9501031 · doi:10.1016/0167-2789(95)00127-P
Abstract
Hirota bilinear identity for Cauchy-Baker-Akhieser (CBA) kernel is introduced as a basic tool to construct integrable hierarchies containing lattice and q-difference times. Determinant formula for the action of meromorphic function on CBA kernel is derived. This formula gives opportunity to construct generic solutions for integrable lattice equations.
6 pages, LaTeX, the text of the talk at NLS-94, Chernogolovka, Russia, July 94.