Exact solution and semifolded structures of generalized Broer–Kaup system in (2+1)-dimensions

Starting from a special Painlevé–Bäcklund transformation, the nonlinear generalized Broer–Kaup(GBK) system in (2+1)-dimensions is reduced to a linear system. Then by means of the linear superposition theorem, a general variable separation excitation to the generalized Broer–Kaup system is obtained. Finally, based on the derived solution, a new type of localized structure, i.e., semifolded localized coherent structure is constructed and some evolution properties of the novel semifolded localized structure are briefly discussed.