  In this paper, we investigate the problem of communication over cognitive
interference channel (CIC) with partially cooperating (PC) destinations
(CIC-PC). This channel consists of two source nodes communicating two
independent messages to their corresponding destination nodes. One of the
sources, referred to as the cognitive source, has a noncausal knowledge of the
message of the other source, referred to as the primary source. Each
destination is assumed to decode only its intended message. In addition, the
destination corresponding to the cognitive source assists the other destination
by transmitting cooperative information through a relay link. We derive a new
upper bound on the capacity region of discrete memoryless CI-CPC. Moreover, we
characterize the capacity region for two new classes of this channel: (1)
degraded CIC-PC, and (2) a class of semideterministic CIC-PC.
