Boundary Value Problems For Integrable Equations Compatible With The Symmetry Algebra

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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25 pages , Latex , no figures

Scientific paper

10.1063/1.531189

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.

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