Browsing by Author "Ullah, Naeem"

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Citation - WoS: 30
Citation - Scopus: 31
On soliton solutions of fractional-order nonlinear model appears in physical sciences
(Amer inst Mathematical Sciences-aims, 2022) Ullah, Naeem; Baleanu, Dumitru; Asjad, Muhammad Imran; Awrejcewicz, Jan; Muhammad, Taseer; Baleanu, Dumitru; 56389
In wave theory, the higher dimensional non-linear models are very important to define the physical phenomena of waves. Herein study we have built the various solitons solutions of (4+1) dimensional fractional-order Fokas equation by using two analytical techniques that is, the Sardarsubequation method and new extended hyperbolic function method. Different types of novel solitons are attained such as, singular soliton, bright soliton, dark soliton, and periodic soliton. To understand the physical behavior, we have plotted 2D and 3D graphs of some selected solutions. From results we concluded that the proposed methods are straightforward, simple, and efficient. Moreover, this paper offers a hint, how we can convert the fractional-order PDE into an ODE to acquire the exact solutions. Also, the proposed methods and results can be help to examine the advance fractional-order models which seem in optics, hydrodynamics, plasma and wave theory etc.
Citation - WoS: 34
Citation - Scopus: 34
Optical solitons for conformable space-time fractional non-linear model
(int Scientific Research Publications, 2022) Asjad, Muhammad Imran; Baleanu, Dumitru; Ullah, Naeem; Rehman, Hamood Ur; Baleanu, Dumitru; 56389
In search of the exact solutions of nonlinear partial differential equations in solitons form has become most popular to understand the internal features of physical phenomena. In this paper, we discovered various type of solitons solutions for the conformable space-time nonlinear Schrodinger equation (CSTNLSE) with Kerr law nonlinearity. To seek such solutions, we applied two proposed methods which are Sardar-subequation method and new extended hyperbolic function method. In this way several types of solitons obtained for example bright, dark, periodic singular, combined dark-bright, singular, and combined singular solitons. Some of the acquired solutions are interpreted graphically. These solutions are specific, novel, correct and may be beneficial for edifying precise nonlinear physical phenomena in nonlinear dynamical schemes. It is revealed that the proposed methods offer a straightforward and mathematical tool for solving nonlinear conformable space-time nonlinear Schrodinger equation. These results support in attaining nonlinear optical fibers in the future.
Citation - WoS: 5
Citation - Scopus: 4
Study of power law non-linearity in solitonic solutions using extended hyperbolic function method
(Amer inst Mathematical Sciences-aims, 2022) Asjad, Muhammad Imran; Jarad, Fahd; Ullah, Naeem; Taskeen, Asma; Jarad, Fahd; 234808
This paper retrieves the optical solitons to the Biswas-Arshed equation (BAE), which is examined with the lack of self-phase modulation by applying the extended hyperbolic function (EHF) method. Novel constructed solutions have the shape of bright, singular, periodic singular, and dark solitons. The achieved solutions have key applications in engineering and physics. These solutions define the wave performance of the governing models. The outcomes show that our scheme is very active and reliable. The acquired results are illustrated by 3-D and 2-D graphs to understand the real phenomena for such sort of non-linear models.