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 3. The 3D and density profiles of the (a), (b) real part of equation (31) at $\sigma =1.82,z=0.15,t=1$ (c), (d) imaginary part of equation (31) at $\sigma =-2,z=-10,t=2.52$.