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 1. The 3D profiles of (a) imaginary part of equation (11) at $\sigma =2.95,z=t=-10$ (b) real part of equation (11) at $\sigma =-0.95,z=t=-10$ (c) imaginary part of equation (14) at $\sigma =-2.45,z=t=0.1$ (d) real part of equation (14) at $\sigma =-10,z=0.1,t=-5.2$.