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 2. The 3D and density profiles of the real part of equation (24) (a), (b) at $\sigma =-4.88,z=t=0$ (c), (d) at $\sigma =8.04,z=-10,t=1$.