  This paper extends the results of the previous paper designated I hereafter
in which the one- and two-soiton solutions of the Degasperis-Procesi(DP)
equation were obtained and their peakon limit was considered. Here, we present
the general N-soliton solution of the DP equation and investigate its property.
We show that it has a novel structure expressed by a parametric representation
in terms of the BKP tau-functions. A purely algebraic proof of the solution is
given by establishing various identities among the tau-functions. The large
time asymptotic of the solution recovers the formula for the phase shift which
was derived in I by a different method. Finally, the structure of the N-soliton
solution is discussed in comparison with that of the Camassa-Holm shallow water
wave equation.
