摘要

A broad general variable separation solution with two arbitrary lower-dimensional functions of the (2+1)-dimensional Broer-Kaup (BK) equations was derived by means of a projective equation method and a variable separation hypothesis. Based on the derived variable separation excitation, some new special types of localized solutions such as oscillating solitons, instanton-like and cross-like fractal structures are revealed by selecting appropriate functions of the general variable separation solution.