dorsal/arxiv
View SchemaGeneralized Hirota bilinear identity and integrable q-difference and lattice hierarchies.
| Authors | L. V. Bogdanov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9501031 |
| URL | https://arxiv.org/abs/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.
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"date_created": "2026-03-02T18:01:25.415000Z",
"date_modified": "2026-03-02T18:01:25.415000Z",
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"abstract": "Hirota bilinear identity for Cauchy-Baker-Akhieser (CBA) kernel is introduced\nas a basic tool to construct integrable hierarchies containing lattice and\nq-difference times. Determinant formula for the action of meromorphic function\non CBA kernel is derived. This formula gives opportunity to construct generic\nsolutions for integrable lattice equations.",
"arxiv_id": "q-alg/9501031",
"authors": [
"L. V. Bogdanov"
],
"categories": [
"q-alg",
"math.QA",
"nlin.SI",
"solv-int"
],
"doi": "10.1016/0167-2789(95)00127-P",
"title": "Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies.",
"url": "https://arxiv.org/abs/q-alg/9501031"
},
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