- 98-579 Ronnie Dickson, Fritz Gesztesy, Karl Unterkofler
- Algebro-Geometric Solutions of the Boussinesq Hierarchy
(152K, LaTeX)
Aug 31, 98
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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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