Symmetry, singularities and integrability in complex dynamics I: the reduction problem
Leach, Peter ; Cotsakis, Spiros ; Flessas, George P.
arXiv, 0011001 / Harvested from arXiv
Text on arXiv
Quadratic systems generated using Yang-Baxter equations are integrable in a sense, but we display a deterioration in the possession of the Painlev\'e property as the number of equations in each `integrable system' increases. Certain intermediate systems are constructed and also tested for the Painlev\'e property. The Lie symmetries are also computed for completeness.
Publié le : 2000-11-02
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0011001,
     author = {Leach, Peter and Cotsakis, Spiros and Flessas, George P.},
     title = {Symmetry, singularities and integrability in complex dynamics I: the
  reduction problem},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0011001}
}

Leach, Peter; Cotsakis, Spiros; Flessas, George P. Symmetry, singularities and integrability in complex dynamics I: the
  reduction problem. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0011001/