New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation

Tukur Abdulkadir Sulaiman,Abdullahi Yusuf,Abdon Atangana

Figure 4. The (a) 3D and (b) density profiles of real part of equation (35) at $\sigma =0.65,z=0.4,t=1.25$ (c) 3D and (d) density profiles of imaginary part of equation (35) at $\sigma =0.5,z=0.3,t=0.5$.