Classically integrable boundary conditions for affine Toda field theories

@article{Bowcock1995ClassicallyIB,
  title={Classically integrable boundary conditions for affine Toda field theories},
  author={Peter Bowcock and Edward Corrigan and P. E. Dorey and R. H. Rietdijk},
  journal={Nuclear Physics},
  year={1995},
  volume={445},
  pages={469-500}
}
Abstract Boundary conditions compatible with classical integrability are studied both directly, using an approach based on the explicit construction of conserved quantities, and indirectly by first developing a generalisation of the Lax pair idea. The latter approach is closer to the spirit of earlier work by Sklyanin and yields a complete set of conjectures for permissible boundary conditions for any affine Toda field theory. 
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