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–two kinks solution u in Eq. (16) with z = 0 at different time: (a) t = −25, (b) t = −5, (c) t = 0, (d) t = 5, (e) t = 25. The free parameters are selected as α = a11 = a12 = 1, β = γ = w0 = −1, a2 = a3 = a7 = a8 = v0 = 0.5, a5 = a10 = a13 = u0 = k3 = 0, and a6 = 0.1.