The linear stability of the multiple solitary wave solution of the Ben
jamin-One (BO) equation is studied analytically. By establishing the c
ompleteness relation for the eigenfunctions of the BCP equation linear
ized about multisoliton solutions, we solve the initial value problem
for this system. We find that the wave under consideration is stable a
gainst infinitesimal perturbations. (C) 1997 Published by Elsevier Sci
ence B.V.