Figure 2
From: Soliton structures for the (3 + 1)-dimensional Painlevé integrable equation in fluid mediums

Solution (5) with \(\mathcal {G}_1=\tau _1=\tau _5=\eta _2=k_1=\delta _1=\delta _2 =\delta _3=\delta _4=\delta _6=1\), \(\mathcal {G}_5=2\), \(\eta _1=3\), \(\delta _5=-1\), \(k_2=t=0\), (a) \(z=-8\), (b) \(z=0\), (c) \(z=8\).