Numerical simulation of the soliton solutions for a complex modified Korteweg-de Vries equation by a finite difference method

Tao Xu,Guowei Zhang,Liqun Wang,Xiangmin Xu,Min Li

Figure 1. Three types of one-soliton solutions of equation (2): (a) Aan SH soliton with β1=0, γ1=1 and ${\lambda }_{1}=\tfrac{3}{5}+\tfrac{2}{5}{\rm{i}};$ (b) a DH soliton with β1=1, γ1=0 and ${\lambda }_{1}=\tfrac{3}{5}+\tfrac{1}{10}{\rm{i}};$ (c) an MH soliton with β1=0.5, γ1=1 and ${\lambda }_{1}=\tfrac{1}{2}+\tfrac{1}{5}{\rm{i}}$.