A reduction of the resonant three-wave interaction to the generic sixth Painlevé equation

@article{Conte2006ARO,
  title={A reduction of the resonant three-wave interaction to the generic sixth Painlev{\'e} equation},
  author={R. Conte and Alfred Michel Grundland and Micheline Musette},
  journal={Journal of Physics A},
  year={2006},
  volume={39},
  pages={12115-12127}
}
Among the reductions of the resonant three-wave interaction system to six-dimensional differential systems, one of them has been specifically mentioned as being linked to the generic sixth Painleve equation P6. We derive this link explicitly, and we establish the connection to a three-degree-of-freedom Hamiltonian previously considered for P6. 
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