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

K. S. Al-Ghafri

K. S. Al-Ghafri

Ibri College of Applied Sciences, Ministry of Higher EducationIbri, Oman
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Al-Ghafri, K. S.
 et 
Hadi Rezazadeh

Hadi Rezazadeh

Faculty of Engineering Technology, Amol University of Special Modern TechnologiesAmol, Iran
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Rezazadeh, Hadi
  
01 juil. 2019
Solitons and other solutions of (3 + 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation's Cover Image
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Publié en ligne: 01 juil. 2019
Pages: 289 - 304
Reçu: 29 mars 2019
Accepté: 07 mai 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00026
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© 2019 K. S. Al-Ghafri et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 Public License.

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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