Abstract

In this paper, we study an extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation having applications in diverse scientific fields. Painlevé anlysis is carried out to test the integrability of the model under consideration. Hirota’s simplified technique is used to investigate one, two and three kink-soliton solutions. Using a dependent variable transformation, bilinear form of the model is obtained which is then used to report lump and lump interaction solutions with periodic and kink waves. The dynamical properties and nature of obtained solutions is comprehensively studied using 3d and 2d graphs.

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