Applications of CRACK in the Classification of Integrable Systems

Details Applications of CRACK in the Classification of Integrable Systems Applications of CRACK in the Classification of Integrable Systems

2003-01-24

arxiv.org/abs/nlin/0301032v1

CRM Proceedings and Lecture Notes, 37 (2004) pp. 283-300.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages

Scientific paper

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.

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