  We consider semi-classical solution of membranes on the AdS_4 x S^7. This is
supposed to be dual to the N=6 super Chern-Simons theory with k=1 in a planar
limit recently proposed by Aharony, Bergmann, Jafferis, and Maldacena (ABJM).
We have identified giant magnon and single spike states on the membrane by
reducing them to the Neumamm - Rosochatius integrable system. We also connect
these to the complex sine-Gordon integrable model. Based on this approach, we
find finite-size membrane solutions and obtain their images in the complex
sine-Gordon system along with the leading finite-size corrections to the
energy-charge relations.
