In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N = 2,3,4) are investigated. The interaction solution among lump wave, 1-soliton and periodic wave is presented; The breather-wave solution is obtained. Dynamical behavior is shown by abundant 3D, density and contour plot.
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