Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies.

Details Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies. Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies.

1995-01-29

arxiv.org/abs/q-alg/9501031v1

Mathematics

Quantum Algebra

6 pages, LaTeX, the text of the talk at NLS-94, Chernogolovka, Russia, July 94.

Scientific paper

10.1016/0167-2789(95)00127-P

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.

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