  We obtain an accurate estimate for the peak intensities of multi-soliton
complexes for a Kerr-type nonlinearity in the (1+1) - dimension problem. Using
exact analytical solutions of the integrable set of nonlinear Schrodinger
equations, we establish a rigorous relationship between the eigenvalues of
incoherently-coupled fundamental solitons and the range of admissible
intensities. A clear geometrical interpretation of this effect is given.
