GENERALIZED HIROTA BILINEAR IDENTITY AND INTEGRABLE Q-DIFFERENCE AND LATTICE HIERARCHIES

Authors
BOGDANOV LV
Citation
Lv. Bogdanov, GENERALIZED HIROTA BILINEAR IDENTITY AND INTEGRABLE Q-DIFFERENCE AND LATTICE HIERARCHIES, Physica. D, 87(1-4), 1995, pp. 58-63
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
87
Issue
1-4
Year of publication
1995
Pages
58 - 63
Database
ISI
SICI code
0167-2789(1995)87:1-4<58:GHBIAI>2.0.ZU;2-6
Abstract
The Hirota bilinear identity for the Cauchy-Baker-Akhieser (CBA) kerne l is introduced as a basic tool to construct integrable hierarchies co ntaining lattice and q-difference times. A determinant formula for the action of meromorphic function on the CBA kernel is derived. This for mula gives the opportunity to construct generic solutions for integrab le lattice equations.