Lump and interaction solutions to the (3+1)-dimensional Burgers equation<xref rid="cpb_29_3_030201fn1" ref-type="fn">*</xref><fn id="cpb_29_3_030201fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11501323, 11701323, and 11605102).</p></fn>

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 Jian^{1, †}, Wu Jian-Wen²

Plots of the lump structures in solution (6) with parameters α = −2, β = γ = a₃ = −w₀ = 1, −a₂ = a₇ = a₁₁ = 0.5, a₅ = a₁₀ = u₀ = v₀ = 0, and a₆ = 0.25. (a) The three-dimensional plot of u. (b) The contour plot of u in x–y plane at different time. (c) The three-dimensional plot of v. (d) The three-dimensional plot of w.