A new general type of solitary wave of a (2+1)-dimensional system

Using the extended homogeneous balance method (EHBM) and variable separation approach (VSA), an exact variable separation excitation of a (2+1)-dimensional system is derived. Based on the derived excitation, a new general type of solitary wave, i.e., semifolded solitary waves and semifoldons (SFSWs), is defined and studied. We investigate the behaviours of the interactions for the semifolded localized structures and find that the interactions possess some novel and interesting features.