New localized structures of a (2+1)-dimensional system obtained by variable separation approach

Starting from a quite universal formula, which is obtained by variable separation approach and valid for many (2+1)-dimensional nonlinear physical models, a new general type of solitary wave, i.e., semifolded solitary waves (SFSWs) and semifoldons, is defined and studied. We investigate the behaviors of the interactions for the new semifolded localized structures both analytically and graphically. Some novel features or interesting behaviors are revealed.