Using the variable separation approach, a quite general variable separation solution of the (2+1)-dimensional Maccari systems can be derived. Special type of soliton solutions, folded solitary waves (FSWs) and foldons, are obtained by selecting some types of multi-valued functions appropriately. The FSWs and foldons may be ``folded'' in quite complicated waves and possess interesting interaction properties.

PACS numbers: 05.45.Yv, 02.03.Jr, 02.03.Ik, 03.40.Ks