  We calculate infinite set of initial profiles of higher integer KdV solitons,
which are both exactly solvable for the Schrodinger equation and for the
Gel'fand-Levitan-Marchenko equation in the inverse scattering transform method
of KdV equation. The calculation of these higher integer soliton solutions is
based on the recently developed multi-indexed extensions of the reflectionless
soliton potential.
