  We study pointwise spatial decay of multi-solitons of the generalized
Korteweg-de Vries equations. We obtain that, uniformly in time, these solutions
and their derivatives decay exponentially in space on the left of and in the
solitons region, and prove rapid decay on the right of the solitons. We also
prove the corresponding result for multi-solitons of the nonlinear
Schr{\"o}dinger equations, that is, exponential decay in the solitons region
and rapid decay outside.
