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

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

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 …