Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation

الملخص EN

Lump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form.

The dynamical behaviors of lump-type wave solution are investigated and presented analytically and graphically.

Furthermore, we discuss the interaction between a lump-type wave and a kink wave solution.

Absorb-emit interaction between two kinds of solitary wave solutions is shown.

This kind of interaction solution can be regarded as a lump-type wave which propagates on the kink wave background.