Browsing by Author "Raza, Nauman"

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Citation Count: Raza, Nauman...et al. (2021). "New and more fractional soliton solutions related to generalized Davey-Stewartson equation using oblique wave transformation", Modern Physics Letters B, Vol. 35, No. 19.
New and more fractional soliton solutions related to generalized Davey-Stewartson equation using oblique wave transformation
(2021) Raza, Nauman; Arshed, Saima; Khan, Kashif Ali; Baleanu, Dumitru; 56389
The generalized fractional Davey-Stewartson (DSS) equation with fractional temporal derivative, which is used to explore the trends of wave propagation in water of finite depth under the effects of gravity force and surface tension, is considered in this paper. The paper addresses the full nonlinearity of the proposed model. To extract the oblique soliton solutions of the generalized fractional DSS (FDSS) equation is the dominant feature of this research. The conformable fractional derivative is used for fractional temporal derivative and oblique wave transformation is used for converting the proposed model into ordinary differential equation. Two state-of-the-art integration schemes, modified auxiliary equation (MAE) and generalized projective Riccati equations (GPREs) method have been employed for obtaining the desired oblique soliton solutions. The proposed methods successfully attain different structures of explicit solutions such as bright, dark, singular, and periodic solitary wave solutions. The occurrence of these results ensured by the limitations utilized is also exceptionally promising to additionally investigate the propagation of waves of finite depth. The latest found solutions with their existence criteria are considered. The 2D and 3D portraits are also shown for some of the reported solutions. From the graphical representations, it have been illustrated that the descriptions of waves are changed along with the change in fractional and obliqueness parameters. © 2021 World Scientific Publishing Company.
Citation Count: Raza, Nauman...et al. (2021). "New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction", Frontiers in Physics, Vol. 9.
New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction
(2021) Raza, Nauman; Arshed, Saima; Butt, Asma Rashid; Baleanu, Dumitru; 56389
This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled through the Yukawa interaction. Three state of the art integration schemes, namely, the e−Φ(ξ)-expansion method, Kudryashov's method, and the tanh-coth expansion method are employed to extract bright soliton, dark soliton, periodic soliton, combo soliton, kink soliton, and singular soliton solutions. All the constructed solutions satisfy their existence criteria. It is shown that these methods are concise, straightforward, promising, and reliable mathematical tools to untangle the physical features of mathematical physics equations. © Copyright © 2021 Raza, Arshed, Butt and Baleanu.
Citation Count: Baleanu, Dumitru...et al. (2020). "Soliton solutions of a nonlinear fractional sasa-satsuma equation in monomode optical fibers", Applied Mathematics and Information Sciences, Vol. 14, No. 3, pp. 365-374.
Soliton solutions of a nonlinear fractional sasa-satsuma equation in monomode optical fibers
(2020) Baleanu, Dumitru; Osman, M.S.; Zubair, Asad; Raza, Nauman; Arqub, Omar Abu; Ma, Wen-Xiu; 56389
This article is devoted to retrieving soliton solutions of a nonlinear Sasa-Satsuma equation governing the propagation of short light pulses in the monomode optical fibers using the effect of conformable fractional transformation. The Integrability is carried out by incorporating two versatile integration gadgets namely the first integral method and the generalized projective Riccati equation method. The resulting solutions include bright, dark, singular, periodic as well as rational solitons along with their existence criteria. Furthermore, the fractional behavior of the solutions is investigated comprehensively using graphs.