dorsal/arxiv
View SchemaAlgebro-Geometric Solutions of the Boussinesq Hierarchy
| Authors | Ronnie Dickson, Fritz Gesztesy, Karl Unterkofler |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9809004 |
| URL | https://arxiv.org/abs/solv-int/9809004 |
| DOI | 10.1142/S0129055X9900026X |
Abstract
We continue a recently developed systematic approach to the Bousinesq (Bsq) hierarchy and its algebro-geometric solutions. Our formalism includes a recursive construction of Lax pairs and establishes associated Burchnall-Chaundy curves, Baker-Akhiezer functions and Dubrovin-type equations for analogs of Dirichlet and Neumann divisors. The principal aim of this paper is a detailed theta function representation of all algebro-geometric quasi-periodic solutions and related quantities of the Bsq hierarchy.
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"abstract": "We continue a recently developed systematic approach to the Bousinesq (Bsq)\nhierarchy and its algebro-geometric solutions. Our formalism includes a\nrecursive construction of Lax pairs and establishes associated\nBurchnall-Chaundy curves, Baker-Akhiezer functions and Dubrovin-type equations\nfor analogs of Dirichlet and Neumann divisors. The principal aim of this paper\nis a detailed theta function representation of all algebro-geometric\nquasi-periodic solutions and related quantities of the Bsq hierarchy.",
"arxiv_id": "solv-int/9809004",
"authors": [
"Ronnie Dickson",
"Fritz Gesztesy",
"Karl Unterkofler"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1142/S0129055X9900026X",
"title": "Algebro-Geometric Solutions of the Boussinesq Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9809004"
},
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