Browsing by Author "Dawood, Mirfa"

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Citation Count: Akram, Ghazala...et al. (2021). "Optical solitons for Lakshmanan–Porsezian–Daniel equation with Kerr law non-linearity using improved [Formula presented]-expansion technique", Results in Physics, Vol. 29.
Optical solitons for Lakshmanan–Porsezian–Daniel equation with Kerr law non-linearity using improved [Formula presented]-expansion technique
(2021) Akram, Ghazala; Sadaf, Maasoomah; Dawood, Mirfa; Baleanu, Dumitru; 56389
The Lakshmanan–Porsezian–Daniel (LPD) equation, with spatio-temporal dispersion as well as group velocity dispersion, is investigated to retrieve new optical solitons. Abundant bright, dark, singular, kink and periodic optical solitons solutions of the LPD equation are constructed for Kerr law of non-linearity by improved [Formula presented] method. Some of the obtained solutions are graphically illustrated using 3D-surface plots and the corresponding 2D-contour plots. The novelty of the constructed solutions is established by comparison of the obtained results with the results available in the literature for LPD equation which shows the effectiveness of the improved [Formula presented] method.
Citation Count: Akram, Ghazala;...et.al. (2023). "Solitary wave solutions to Gardner equation using improved (Ω(sic)/2 ) tan 2 -expansion method", AIMS Mathematics, Vol.8, No.2, pp.4390-4406.
Solitary wave solutions to Gardner equation using improved (Ω(sic)/2 ) tan 2 -expansion method
(2023) Akram, Ghazala; Sadaf, Maasoomah; Dawood, Mirfa; Abbas, Muhammad; Baleanu, Dumitru; 56389
In this study, the improved tan(Omega(sic)/2 )-expansion method is used to construct a variety of precise soliton and other solitary wave solutions of the Gardner equation. Gardner equation is extensively utilized in plasma physics, quantum field theory, solid-state physics and fluid dynamics. It is the simplest model for the description of water waves with dual power law nonlinearity. Hyperbolic, exponential, rational and trigonometric traveling wave solutions are obtained. The retrieved solutions include kink solitons, bright solitons, dark-bright solitons and periodic wave solutions. The efficacy of this method is determined by the comparison of the newly obtained results with already reported results.
Citation Count: Akram, Ghazala...et al (2023). "Solitary wave solutions to Gardner equation using improved tan(Ω(Υ)/2-expansion method", AIMS Mathematics, Vol. 8, No. 2, pp. 4390-4406.
Solitary wave solutions to Gardner equation using improved tan(Ω(Υ)/2-expansion method
(2023) Akram, Ghazala; Sadaf, Maasoomah; Dawood, Mirfa; Abbas, Muhammad; Baleanu, Dumitru; 56389
In this study, the improved tan(Ω(Υ)/2-expansion method is used to construct a variety of precise soliton and other solitary wave solutions of the Gardner equation. Gardner equation is extensively utilized in plasma physics, quantum field theory, solid-state physics and fluid dynamics. It is the simplest model for the description of water waves with dual power law nonlinearity. Hyperbolic, exponential, rational and trigonometric traveling wave solutions are obtained. The retrieved solutions include kink solitons, bright solitons, dark-bright solitons and periodic wave solutions. The efficacy of this method is determined by the comparison of the newly obtained results with already reported results.