Boundary Value Problems For Integrable Equations Compatible With The Symmetry Algebra

Abstract

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.

25 pages , Latex , no figures

Cited by in corpus (6)

• Initial-boundary value problems associated with the Ablowitz-Ladik system
• Set-theoretical reflection equation: Classification of reflection maps
• Integrable nonlinear equations on a circle
• The Ablowitz-Ladik system on a finite set of integers
• The Ablowitz-Ladik system on a graph
• Hydrodynamic type integrable equations on a segment and a half-line