A New Approach to the Boussinesq Hierarchy | Zendy

Dickson Ronnie | Zendy; Gesztesy Fritz | Zendy; Unterkofler Karl | Zendy

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A New Approach to the Boussinesq Hierarchy

Author(s) -

Dickson Ronnie,

Gesztesy Fritz,

Unterkofler Karl

Publication year - 1999

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19991980105

Subject(s) - mathematics , hierarchy , dirichlet distribution , formalism (music) , pure mathematics , trace (psycholinguistics) , algebraic number , algebra over a field , polynomial , mathematical analysis , art , musical , linguistics , philosophy , economics , market economy , visual arts , boundary value problem

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.

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