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In this paper, a new projective equation (Φ' = σΦ +Φ 2 ) is used to obtain the variable separation solutions with two arbitrary functions of the (2+1)-dimensional Broek-Kaup system with variable coefficients (VCBK). Based on the derived solutions and by selecting appropriate functions, some novel folded solitary wave evolutional behaviours are investigated

New Exact Solutions and Novel Localized Excitations for the (2+1)-Dimensional Broek-Kaup System with Variable Coefficients