96-117 R. Dickson, F. Gesztesy, and K. Unterkofler

A New Approach to the Boussinesq Hierarchy (151K, amslatex) Apr 3, 96

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Abstract. We develop a new systematic approach to the Boussinesq (Bsq) hierarchy based on elementary algebraic methods. In particular, we recursively construct Lax pairs for the Bsq hierarchy by introducing a fundamental polynomial formalism and establish the basic algebro-geometric setting including associated Burchnall-Chaundy curves, Baker-Akhiezer functions, trace formulas, and Dubrovin-type equations for Dirichlet and Neumann divisors.

Files: 96-117.tex