# ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY

@article{Dickson1999ALGEBROGEOMETRICSO, title={ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY}, author={Ronnie Dickson and Fritz Gesztesy and Karl Unterkofler}, journal={Reviews in Mathematical Physics}, year={1999}, volume={11}, pages={823-879} }

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…

## 75 Citations

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