Soliton molecules, asymmetric soliton and some novel hybrid solutions for the isospectral BKP equation

Abstract

In this paper, we investigate the soliton molecules, asymmetric soliton and some novel hybrid solutions for the isospectral B-type Kadomtsev–Petviashvili (BKP) equation based on a new resonance condition. The soliton molecules and asymmetric soliton of the isospectral BKP equation can be obtained by selecting the appropriate parameters. Based on velocity resonance, module resonance and long-wave limit method, we can obtain the interactions of soliton molecules, breather waves and lump waves. Finally, we give the graphic of soliton molecules, asymmetric soliton and some novel hybrid solutions, and give the dynamic behavior analysis.