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
نویسندگان
چکیده
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 .
منابع مشابه
ar X iv : s ol v - in t / 9 71 20 09 v 1 1 8 D ec 1 99 7 Canonical Gauge Equivalences of the sAKNS and sTB
We study the gauge transformations between the supersymmetric AKNS (sAKNS) and supersymmetric two-boson (sTB) hierarchies. The Hamiltonian nature of these gauge transformations is investigated, which turns out to be canonical. We also obtain the Darboux-Bäcklund transformations for the sAKNS hierarchy from these gauge transformations.
متن کاملar 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
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...
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