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Dispersive modified Benjamin-Bona-Mahony and Kudryashov-Sinelshchikov equations: non-topological, topological, and rogue wave solitons

Muhammad Usman
Muhammad Usman
, 
Akhtar Hussain
Akhtar Hussain
, 
Hassan Ali
Hassan Ali
, 
Fiazuddin Zaman
Fiazuddin Zaman
 e 
Naseem Abbas
Naseem Abbas
   | 02 giu 2024
International Journal of Mathematics and Computer in Engineering's Cover Image
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Article Category: Original Study
Pubblicato online: 02 giu 2024
Pagine: -
Ricevuto: 18 ago 2023
Accettato: 01 gen 2024
DOI: https://doi.org/10.2478/ijmce-2025-0003
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© 2025 Muhammad Usman et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Non-topological (bright) soliton nature of surface wave propagation by (12) with C = 1, α = −1 and t = 0.1, 0.2, 0.3.
Non-topological (bright) soliton nature of surface wave propagation by (12) with C = 1, α = −1 and t = 0.1, 0.2, 0.3.

Fig. 2

Rogue wave solutions of the equation (24) with C = 0.2, α = −1 and t = 0, 1, 2.
Rogue wave solutions of the equation (24) with C = 0.2, α = −1 and t = 0, 1, 2.

Fig. 3

Topological (dark) soliton nature of surface wave propagation by (37) with D = 4, α = 1 and t = 2, 4, 6.
Topological (dark) soliton nature of surface wave propagation by (37) with D = 4, α = 1 and t = 2, 4, 6.

Fig. 4

Non-topological (bright) soliton solutions of the equation (46) with C = 0.05, β = 1 and t = 0.2, 0.4, 0.6.
Non-topological (bright) soliton solutions of the equation (46) with C = 0.05, β = 1 and t = 0.2, 0.4, 0.6.

Fig. 5

Rogue wave solutions of the equation (53) with C = 1, α = 1, σ = 1, β = 1 and t = 0, 1, 2.
Rogue wave solutions of the equation (53) with C = 1, α = 1, σ = 1, β = 1 and t = 0, 1, 2.

Fig. 6

Topological (dark) soliton solutions of the equation (57) with C = 1, σ = 1, γ = 1, β = −0.5 and t = 0.2, 0.4, 0.6.
Topological (dark) soliton solutions of the equation (57) with C = 1, σ = 1, γ = 1, β = −0.5 and t = 0.2, 0.4, 0.6.
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