Integrable Systems and Metrics of Constant Curvature

  title={Integrable Systems and Metrics of Constant Curvature},
  author={Maxim Pavlov},
PACS : 02.30.J, 11.10.E; MSC : 35L65, 35L70, 35Q35, 58F05, 58F07 keywords: Lagrangian, metrics of constant curvature, Hamiltonian structure, reciprocal transformation, Poisson brackets. Abstract. In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differential-geometric Poisson bracket of the first order associated with metrics of constant curvature. Kaup-Boussinesq system has three local Hamiltonian structures and one… CONTINUE READING