Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies
Abstract
The Hirota bilinear identity for the Cauchy-Baker-Akhieser (CBA) kernel is introduced as a basic tool to construct integrable hierarchies containing lattice and q-difference times. A determinant formula for the action of meromorphic function on the CBA kernel is derived. This formula gives the opportunity to construct generic solutions for integrable lattice equations.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- October 1995
- DOI:
- 10.1016/0167-2789(95)00127-P
- arXiv:
- arXiv:q-alg/9501031
- Bibcode:
- 1995PhyD...87...58B
- Keywords:
-
- Mathematics - Quantum Algebra;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 6 pages, LaTeX, the text of the talk at NLS-94, Chernogolovka, Russia, July 94.