On integrability of some bi-Hamiltonian two field systems of partial differential equations

@article{Sole2015OnIO,
  title={On integrability of some bi-Hamiltonian two field systems of partial differential equations},
  author={Alberto De Sole and Victor G. Kac and Refik Turhan},
  journal={Journal of Mathematical Physics},
  year={2015},
  volume={56},
  pages={051503-051522}
}
  • Alberto De Sole, Victor G. Kac, Refik Turhan
  • Published 2015
  • Physics, Mathematics
  • Journal of Mathematical Physics
  • We continue the study of integrability of bi-Hamiltonian systems with a compatible pair of local Poisson structures (H0, H1), where H0 is a strongly skew-adjoint operator. This is applied to the construction of some new two field integrable systems of PDE by taking the pair (H0, H1) in the family of compatible Poisson structures that arose in the study of cohomology of moduli spaces of curves.