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The classical Boussinesq hierarchy revisited

Fritz Gesztesy·Helge Holden
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Abstract

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.

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Fritz Gesztesy, Helge Holden. 1998-12-21. The classical Boussinesq hierarchy revisited. https://arxiv.org/abs/solv-int/9812026

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