Boundary Value Problems For Integrable Equations Compatible With The   Symmetry Algebra
  Boundary value problems for integrable nonlinear partial differential equations are considered from the symmetry point of view. Families of boundary conditions compatible with the Harry-Dym, KdV and MKdV equations and the Volterra chain are discussed. We also discuss the uniqueness of some of these boundary conditions. 
Burak Gurel, Metin Gurses and Ismagil Habibullin