1999/01/01 by Ronnie Dickson, Fritz Gesztesy, Karl Unterkofler · 1 citation
paper · doi:10.1002/mana.19991980105
crossref issued 1999/01/01 · crossref published 1999/01/01 · crossref published-print 1999/01/01 · crossref published-online 2010/11/19 · crossref created 2010/11/19 · crossref deposited 2023/11/24 · crossref indexed 2026/08/05
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.