English

The classical Boussinesq hierarchy revisited

solv-int 2007-05-23 v1 Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.solv-int/9812026,
  title  = {The classical Boussinesq hierarchy revisited},
  author = {Fritz Gesztesy and Helge Holden},
  journal= {arXiv preprint arXiv:solv-int/9812026},
  year   = {2007}
}

Comments

LaTeX, 17 pages