We present analytical and numerical results related to partially coher
ent solitons (PCS) of a novel class. In effect, there is freedom to ch
oose the shape of a PCS as it is governed by 2N - 1 parameters, where
N is the number of linear modes contributing to the soliton. In partic
ular, we show that a PCS may have an asymmetric shape. The PCS shape b
ecomes arbitrary in the limit of complete incoherence. Another remarka
ble new feature of a PCS is that collisions in Kerr-like media cause t
he PCS to change its shape, although each beam remains a stationary so
liton after the collision. [S0031-9007(98)07677-7].