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 2. Time evolution for three different one-soliton solutions of equation (2): (a) an SH soliton with β1=0, γ1=2 and λ1=−0.25 + 0.2i;  (b) a DH soliton with β1=2, γ1=0 and λ1=−0.3 + 0.06i;  (c) an MH soliton with β1=0.5, γ1=2 and ${\lambda }_{1}=-0.2+\tfrac{\pi }{16}\,{\rm{i}}$.