Fusion and fission solitons for the (2+1)-dimensional generalized Breor–Kaup system

With a projective equation and a linear variable separation method, this paper derives new families of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) with arbitrary functions for (2+1)-dimensional generalized Breor–Kaup (GBK) system. Based on the derived solitary wave excitation, it obtains fusion and fission solitons.