Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies.
q-alg
2016-09-08 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
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.
Cite
@article{arxiv.q-alg/9501031,
title = {Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies.},
author = {L. V. Bogdanov},
journal= {arXiv preprint arXiv:q-alg/9501031},
year = {2016}
}
Comments
6 pages, LaTeX, the text of the talk at NLS-94, Chernogolovka, Russia, July 94.