English

Applications of CRACK in the Classification of Integrable Systems

Exactly Solvable and Integrable Systems 2007-05-23 v1 Mathematical Physics math.MP

Abstract

Work on different classification problems is described as: the classification of integrable vector evolution equations, NLS systems with two vector unknowns, systems with one scalar and one vector unknown, classification of integrable Hamiltonians and non-local 2+1 dimensional equations. All these problems lead to large bi-linear algebraic systems to be solved. In an extended appendix an overview of the computer algebra package is given that was used to solve these systems.

Keywords

Cite

@article{arxiv.nlin/0301032,
  title  = {Applications of CRACK in the Classification of Integrable Systems},
  author = {Thomas Wolf},
  journal= {arXiv preprint arXiv:nlin/0301032},
  year   = {2007}
}

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15 pages