Lagrangian and Hamiltonian Structures for the Constant Astigmatism   Equation
  In this paper we found a Lagrangian representation and corresponding Hamiltonian structure for the constant astigmatism equation. Utilizing this Hamiltonian structure and extra conservation law densities we construct a first evolution commuting flow of the third order. Also, we apply the recursion operator and present a second Hamiltonian structure. This bi-Hamiltonian structure allows to replicate infinitely many local commuting flows and corresponding local conservation law densities. 
Maxim V. Pavlov, Sergej A. Zykov
nlin.SI