1998/08/31 by Ronnie Dickson, Fritz Gesztesy, Karl Unterkofler · 1 citation
Physics and Astronomy · #solv-int #nlin.SI
paper · pdf · doi:10.1142/s0129055x9900026x
LaTeX, 48 pages
arxiv created 1998/08/31 · arxiv updated 2015/06/26
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.