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 5. Time evolution of three different two-soliton solutions of equation (2): (a) shape-preserving collision between an SH soliton and a DH soliton with β1=β2=1, γ1=γ2=0, λ1=−0.32 − 0.1i and λ2=0.32 − 0.3i;  (b) shape-preserving collision between two MH solitons with β1=β2=1, γ1=γ2=1, λ1=−0.375 − 0.12i and λ2=0.375 − 0.3i;  (c) shape-changing collision between an MH soliton and a DH soliton with β1=β2=1, γ1=0, γ2=1, λ1=0.4 − 0.08i and λ2=−0.3 − 0.3i.