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

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.