Soliton molecules and some interaction solutions for the (3+1)-dimensional Jimbo-Miwa equation

Abstract

Soliton solutions, lump solutions, breather solutions and soliton molecules are hot topics in recent years. And soliton molecules have been successfully discovered in optical experiments. In this paper, we firstly use the Hirota bilinear method to obtain the multiple solitary wave solutions of the (3+1)-dimensional Jimbo-Miwa equation. Secondly, on the basis of soliton solutions, the soliton molecule of the equation is studied by means of the velocity resonance condition, and the dynamic diagram of the specific case is given. Finally, we study the hybrid solution of the equation involving soliton, lump, breather, and soliton molecule.