Soliton solutions of coupled complex modified Korteweg-de Vries system through Binary Darboux transformation

Abstract

In this article, we find various kind of solutions of coupled complex modified (KdV) system by using very interesting method binary Darboux transformation. Generally the solutions are classified into zero seed and non-zero seed. In zero seed solutions, we find breather solution and one soliton solution. While in non-zero seed solutions, we obtain bright-bright solitons, w-shaped solitons, bright-dark solitons, periodic and rouge waves solutions. The behavior of these solutions can easily examine from figures.