文摘
Under investigation in this paper is a (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid. The analytic solutions obtained are similar to kink solitons, while, the interaction regions with little peaks are different. The breather-like wave is bright-dark solitary wave. For the rational solutions, asymptotic behaviors show that breather-like wave disappears with evolution of t. Relations between the one-soliton and one-periodic wave solutions are analyzed, which exhibit the asymptotic behaviors of the periodic waves.