Lump and interaction solutions to the (3+1)-dimensional Burgers equation*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11501323, 11701323, and 11605102).
Liu Jian1, †, Wu Jian-Wen2
       

The three-dimensional plots of the lump–kink solution u in Eq. (12) with z = 0 at different time: (a) t = −50, (b) t = 0, (c) t = 20. The free parameters are select as −α = a12 = 2, β = γ = a11 = w0 = 1, −a2 = k1 = k2 = 0.3, −a3 = a6 = a7 = 0.4, and a5 = a10 = u0 = v0 = k3 = 0.