Combined structures of single valued and multiple valued localized excitations in higher-dimensional soliton system

In this Letter, we derive a quite universal formula, which is valid for many (2+1)(2+1)-dimensional nonlinear physical models, by using extended homogeneous balance method. Based on the derived expression, we investigate the combined structures, i.e., semifolded solitary waves and semifoldons, of single valued and multiple valued localized excitations in higher-dimensional soliton system and their interactions both analytically and graphically. Some novel features or interesting behaviors are revealed.