Inelastic interaction solutions between multiple-lump molecule and kink solitons of the (2+1)-dimensional BKP equation

Abstract

In this paper, the Grammian solutions for the BKP equation are employed to investigate the inelastic interaction solutions between multiple-lump molecule and kink solitons. Various kinds of interaction solutions including 2-, 3-lump molecule and 1-, 2-, 3-kink solitons are obtained. The dynamical behaviors of these interaction solutions are analyzed by means of the numerical simulation. A general procedure is proposed to construct the inelastic interaction solutions between M-lump molecule and L-kink solitons. As the parameter increases, the structure of lump molecule is gradually destroyed, and the multiple lump waves will form a triangular structure. L lump waves are absorbed by the L-kink solitons after the interaction. The results are helpful for us to understand the complex inelastic interaction dynamics between the lump molecules and solitons.