  We study general rotating string solution in the AdS(4) X CP**3 background
with a B_NS holonomy turned on over ${\bf CP}^1$ $\subset $ $ {\bf CP}^3$. We
find the giant magnon and single spike solutions for the string moving in this
background corresponding to open spin chain. We calculate the corresponding
dispersion relation among various conserved charges for both the cases. We
further study the finite size effect on both the giant magnon and single spike
solutions.
