Browsing by Author "Ullah, Mohammad Safi"

Now showing 1 - 2 of 2

Citation - WoS: 50
Citation - Scopus: 53
Collision Phenomena Among Lump, Periodic and Soliton Solutions To a (2+1)-Dimensional Bogoyavlenskii's Breaking Soliton Model
(Elsevier, 2021) Ali, M. Zulfikar; Harun-Or-Roshid; Seadawy, A. R.; Baleanu, Dumitru; Ullah, Mohammad Safi
In this manuscript, the (2+1)-dimensional Bogoyavlenskii's breaking soliton (BBS) model is considered. Atfirst, we reduce the model into its bilinear form using the Hirota bilinear approach. We then analytically construct lump waves and collision of lump with periodic waves via the Hirota scheme. We also present collision between lump wave and single-, double-kink soliton solutions, and the collision among lump, periodic and single-, double-kink soliton solutions of the model. In addition, we explain the fission properties of the collisions. It is noticed that collision of lump-kink waves split into double kinky-lump waves and gradually increases the number of such waves as the increase of., which was not found in the previous literature. Finally, we graphically present the nature of the collision solutions of the model in 3D and contour plots. The derived such wave solutions may have much more important for controlling unpredictable harmful waves arises in nature. (C) 2021 Elsevier B.V. All rights reserved.
Citation - WoS: 37
Citation - Scopus: 45
Novel Dynamics of the Zoomeron Model Via Different Analytical Methods
(Pergamon-elsevier Science Ltd, 2023) Baleanu, Dumitru; Ali, M. Zulfikar; Harun-Or-Roshid; Ullah, Mohammad Safi
We apply the novel Kudryashov scheme, the G1 & PRIME; approach, and the G & PRIME; G & PRIME;+G+A technique to handle the Zoomeron model for the first time, which yields several kinds of soliton solutions with some novel dynamic properties. The proposed model handles specific incidents of soliton structures with distinctive characteristics that arise in laser sciences, fluid mechanics, and nonlinear optics. We observe dark soliton, bright soliton, periodic waves, kink waves, anti-kink waves, and breather waves for the mentioned equation by symbolic calculation. The suggested model also produces lump-type breather waves. Density, 3D, and 2D images are used to exhibit the dynamics of the adopted outcomes. The results will be crucial for future research on higher-order nonlinear models.