New single soliton solutions to the affine Toda field theories are con
structed, exhibiting previously unobserved topological charges. This g
oes some of the way in filling the weights of the fundamental represen
tations, but nevertheless holes in the representations remain. We use
the group double-cross product form of the inverse scattering method,
and restrict ourselves to the rank-one solutions. (C) 1998 Elsevier Sc
ience B.V.