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 9. Time evolution of the error norms from ξ=0 to 10 for three types of one-soliton solutions with different initial perturbations, where the parameters are chosen as follows: (a) β1=0, γ1=2 and λ1=− 0.25 + 0.2i, (b) β1=2, γ1=0 and λ1=−0.3 + 0.06i, (c) β1=0.5, γ1=2 and ${\lambda }_{1}=-0.2+\tfrac{\pi }{16}\,{\rm{i}}$.