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International Journal of Mathematics and Computer in Engineering
AHEAD OF PRINT
Open Access
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
and
Naseem Abbas
Naseem Abbas
| Jun 02, 2024
International Journal of Mathematics and Computer in Engineering
AHEAD OF PRINT
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Article Category:
Original Study
Published Online:
Jun 02, 2024
Page range:
-
Received:
Aug 18, 2023
Accepted:
Jan 01, 2024
DOI:
https://doi.org/10.2478/ijmce-2025-0003
Keywords
Nonlinear dispersive modified Benjamin-Bona-Mahony equation
,
KS equation
,
non-topological solitons
,
rogue waves
,
topological solitons
© 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.
Fig. 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.
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.
Fig. 5
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.