On the Nonlocal Equations and Nonlocal Charges Associated with the Harry   Dym Hierarchy
  A large class of nonlocal equations and nonlocal charges for the Harry Dym hierarchy is exhibited. They are obtained from nonlocal Casimirs associated with its bi-Hamiltonian structure. The Lax representation for some of these equations is also given. 
J.C. Brunelli and G.A.T.F. da Costa