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Solitons and other solutions of (3 + 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation


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Fig. 1

The solitary wave solution (41) for k1 = 1, k2 = 1.2, k3 = 2.2, c2 = 1.5, δ = 2.5, α = 0.95.
The solitary wave solution (41) for k1 = 1, k2 = 1.2, k3 = 2.2, c2 = 1.5, δ = 2.5, α = 0.95.

Fig. 2

The kink wave solution (45) for k1 = 0.2, k2 = 1.5, k3 = 0.25, c2 = 0.5, δ = −1.2, α = 0.9.
The kink wave solution (45) for k1 = 0.2, k2 = 1.5, k3 = 0.25, c2 = 0.5, δ = −1.2, α = 0.9.

Fig. 3

The singular soliton solution (50) for k1 = 0.5, k2 = 1.5, k3 = 0.3, c2 = 1.3, δ = −1, α = 0.95.
The singular soliton solution (50) for k1 = 0.5, k2 = 1.5, k3 = 0.3, c2 = 1.3, δ = −1, α = 0.95.

Fig. 4

The singular periodic solution (70) for k1 = 1, k2 = 0.5, k3 = 1.5, c2 = 2, δ = −0.5, α = 1.
The singular periodic solution (70) for k1 = 1, k2 = 0.5, k3 = 1.5, c2 = 2, δ = −0.5, α = 1.

Fig. 5

The singular periodic solution (89) for k1 = −1.5, k2 = 0.75, k3 = 1, c2 = 1.1, δ = −1.2, α = 1.
The singular periodic solution (89) for k1 = −1.5, k2 = 0.75, k3 = 1, c2 = 1.1, δ = −1.2, α = 1.

Fig. 6

The singular soliton solution (92) for k1 = 0.5, k2 = -0.5, k3 = 0.5, c2 = −1.2, δ = −1.5, α = 1.
The singular soliton solution (92) for k1 = 0.5, k2 = -0.5, k3 = 0.5, c2 = −1.2, δ = −1.5, α = 1.
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Angielski
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