ar X iv : s ol v - in t / 9 80 90 04 v 1 3 1 A ug 1 99 8 ALGEBRO - GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
نویسندگان
چکیده
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.
منابع مشابه
ar X iv : s ol v - in t / 9 81 20 26 v 1 2 1 D ec 1 99 8 THE CLASSICAL BOUSSINESQ HIERARCHY REVISITED
We develop a systematic approach to the classical Boussinesq (cBsq) hierarchy based on an elementary polynomial recursion formalism. Moreover, the gauge equivalence between the cBsq and AKNS hierarchies is studied in detail and used to provide an effortless derivation of algebro-geometric solutions and their theta function representations of the cBsq hierarchy .
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