Browsing by Author "Arshed S."

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A new exploration of some explicit soliton solutions of q-deformed Sinh-Gordon equation utilizing two novel techniques
(2023-03-01) Raza N.; Butt A.R.; Arshed S.; Kaplan M.
In the present work, the q-deformed Sinh-Gordon equation considered by performing new extended generalized Kudryashov method and improved tan(Φ2)-expansion method. Thanks to these methods, we can effectively obtain rational, hyperbolic and trigonometric solutions by specially choosing the parameters for the existence of solutions. The proposed equation expands the possibilities for modeling physical systems in which symmetry is broken. The obtained solutions are graphically illustrated.
An exploration of novel soliton solutions for propagation of pulses in an optical fiber
(2022-07-01) Raza N.; Arshed S.; Kaplan M.; Butt A.R.
In this article, the propagation of pulses in optical fiber has been studied by considering the nonlinear partial differential equation (NPDE). The proposed model is investigated using two analytical techniques namely the Sine-Gordon expansion (SGE) procedure and the modified auxiliary equation (MAE) method. The trigonometric function, hyperbolic function, and rational function solutions have been extracted from the proposed methods. The employed procedures are compatible in obtaining traveling wave solutions. Moreover, the obtained results are assisted with 3D graphs to demonstrate the physical significance and dynamical behaviors by using different parameter values.
Painlevé analysis, dark and singular structures for pseudo-parabolic type equations
(2022-08-10) Arshed S.; Raza N.; Kaplan M.
In this paper, two important pseudo-parabolic type equations are studied for extracting soliton solutions via the generalized projective riccati equations method. These equations are Oskolkov equation and Oskolkov-Benjamin-Bona-Mahony-Burgers equation. The proposed method extracts dark soliton and singular soliton. Furthermore, the Painlevé test (P-test) has also been employed on pseudo-parabolic type equations for investigating integrability. The proposed equations are proved to be integrable by P-test. The numerical simulations have also been carried out by 3D and 2D graphs of some of the obtained solutions.