  For all affine Toda field theories we propose a new type of generic boundary
bootstrap equations, which can be viewed as a very specific combination of
elementary boundary bootstrap equations. These equations allow to construct
generic solutions for the boundary reflection amplitudes, which are valid for
theories related to all simple Lie algebras, that is simply laced and
non-simply laced. We provide a detailed study of these solutions for concrete
Lie algebras in various representations.
