Sulaiman, Tukur Abdulkadir; Yokus, Asif; Gulluoglu, Nesrin; Baskonus, Haci Mehmet; Cattani, C; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T

AtıfOpenAlex32

İncele

Yokus, Asif; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Atmaca, Sibel Pasali; Cattani, C; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T

AtıfOpenAlex18

İncele

Sulaiman, Tukur Abdulkadir; Bulut, Hasan; Baskonus, Haci Mehmet; Cattani, C; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Agoujil, S

AtıfOpenAlex7

İncele

Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan; Cattani, C; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Agoujil, S

AtıfOpenAlex16

İncele

Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan

In this paper, we study the generalized higher-order nonlinear Schrödinger equation analytically. We use two integral schemes for conducting this study. Dark, bright, combined dark–bright optical, singular soliton, soliton-like and trigonometric function solutions are successfully constructed. We give the constraint conditions for the existence of valid solutions. The 2D, 3D and the contour graphs for the dark and bright solitons are plotted.

AtıfScopus32·OpenAlex35

İncele

Ilhan, Onur Alp; Sulaiman, Tukur Abdulkadir; Bulut, Hasan; Baskonus, Haci Mehmet

In this paper, we utilize the sine-Gordon expansion method and construct some travelling wave solutions to the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation which arises in plasma physics. We successfully obtain some hyperbolic function solutions to this equation. By choosing some suitable values of parameters, we perform the numerical simulation of all the obtained solutions in this study. We observed that our result may be useful in detecting some ion-acoustic waves behaviors in a magnetized plasma. All the computations and graphic plots in this article are performed with the aid of the Mathematica package.

AtıfScopus27·OpenAlex29

İncele

Cattani, Carlo; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Bulut, Hasan

In this paper, we construct a family of wave solutions to the doubly dispersive equation, such as topological, non-topological, singular, compound topological-non-topological bell-type and compound singular, soliton-like, singular periodic wave and exponential function solutions. These analytical solutions are obtained by using the extended sinh-Gordon equation expansion method and the modified exp (- φ(ζ)) -expansion function method. The doubly dispersive equation is an important nonlinear physical model describing the nonlinear wave propagation in the elastic inhomogeneous Murnaghan’s rod. Under a suitable choice of parameters, the 2D, 3D and contour graphics to the reported results are also plotted.

AtıfScopus113·OpenAlex122

İncele

Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet

This study uses the extended sinh-Gordon equation expansion method in constructing various optical soliton solutions to the resonant nonlinear Schrödinger equation with both spatio-temporal and inter-modal dispersions. Resonant nonlinear Schrödinger equation expresses the propagation dynamics of optical solitons and Madelung fluids. Dark, bright, combined dark–bright and singular optical solitons are successfully constructed. Under the choice of suitable values of parameters, the two-dimensional, three-dimensional and the contour graphs to some of the acquired results are plotted. The reported results may be useful in explaining the physical meaning of the studied model.

AtıfScopus68·OpenAlex70

İncele

Esen, Alaattin; Sulaiman, Tukur Abdulkadir; Bulut, Hasan; Baskonus, Haci Mehmet

This study reveals the dark, bright, mixed dark-bright, singular and mixed singular optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrödinger equation by using the extended sinh-Gordon equation expansion method. The constraint conditions for the existence of valid solitons are given. Under the choice of suitable values of the parameters and the fractional values of α and β, the 2- and 3-dimensional graphs to some of the reported solutions are plotted.

AtıfScopus164·OpenAlex191

İncele

Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet

In this study, the applications of the extended sinh-Gordon equation expansion method to a nonlinear Schrödinger equation that describes the nonlinear spin dynamics of (2 + 1)-dimensional Heisenberg ferromagnetic spin chains with bilinear and anisotropic interactions in the semiclassical limit is presented. We successfully construct dark, bright, combined dark-bright, singular and combined singular soliton solutions to this equation. We give the parametric conditions for the existence of valid soliton to each of the obtained solutions. We plot the 2D and 3D graphics to some of the obtained solutions. The reported results of this study may be helpful in explaining the physical meaning of the studied model.

AtıfScopus40·WoS59·OpenAlex73

İncele

Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Rezazadeh, Hadi; Eslami, Mostafa; Mirzazadeh, Mohammad

This study reveals the dark, bright, combined dark–bright, singular optical solitons and other solutions to the conformable space–time fractional Fokas–Lenells equation. We use two integral schemes in reaching such solutions. The constraints conditions which guarantee the existence of valid solutions are stated. By choosing the suitable values of the parameters involved, we plot the 2-dimensional and 3-dimensional surfaces to some of the obtained solutions.

AtıfScopus101·OpenAlex124

İncele

Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet

This study investigates the longitudinal wave equation in a magneto-electro-elastic circular rod by using the extended sinh-Gordon equation expansion method. Topological, non-topological and singular soliton solutions are extracted. To illustrate the physical appearance of the obtained solutions, 2D, 3D and the contour graphs to some of the obtained solutions are plotted. The reported results may be useful in explaining the physical meaning of the studied models and other nonlinear physical models arising in nonlinear sciences.

AtıfScopus43·OpenAlex43

İncele

Sulaiman, Tukur Abdulkadir; Aktürk, Tolga; Bulut, Hasan; Baskonus, Haci Mehmet

This study uses two mathematical approaches in constructing dark, bright, kink-type and singular soliton solutions to the Heisenberg ferromagnetic spin chain equation. The (2+1)-dimensional Heisenberg ferromagnetic spin chain equation describes nonlinear dynamics of magnets. The acquired results in this study may help in explaining some physical meanings of some nonlinear physical models arising in electromagnetic waves. For instance, the hyperbolic tangent arises in the calculation of magnetic moment and rapidity of special relativity, the hyperbolic cotangent arises in the Langevin function for magnetic polarization. The 2-, 3-dimensional and the contour plots of all the acquired solutions are presented.

AtıfScopus72·OpenAlex84

İncele

Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan

The dynamical systems of soliton propagation through optical fibers for trans-continental and trans-oceanic distances is one of the most interesting areas of study. Optical solitons are restrained electromagnetic waves that stretch in nonlinear dispersive media and allow the intensity to remain unchanged due to the balance between dispersion and nonlinearity effects. In this study, we successfully acquire dark, bright, combined dark–bright, singular and combined singular soliton solutions to the decoupled nonlinear Schrödinger equation arising in dual-core optical fibers by using the extended sinh-Gordon equation expansion method. The constraint conditions for the existence of valid soliton solutions are given. We discuss how change in parameters affect the solitons transmission. We present the 2D, 3D and the contour graphs to some of the reported solutions.

AtıfScopus47·OpenAlex48

İncele

Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan

This study applies the powerful sine-Gordon expansion method in acquiring some new solutions to the strain wave equation in micro-structured solids arising in mathematical physics. The strain wave equation in micro-structured solids is used in modelling wave propagation in micro-structured materials. We successfully acquire some new solitary wave solutions with hyperbolic function structure. By taking some suitable values of parameters involved in the solutions, we plot the 2D, 3D and contour graphs of all the obtained solutions in this study.

AtıfScopus34·WoS34·OpenAlex36

İncele

Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Bulut, Hasan

This study reveals the dark, bright, combined dark–bright, singular, combined singular optical solitons and singular periodic solutions to the conformable space–time fractional complex Ginzburg–Landau equation. We reach such solutions via the powerful extended sinh-Gordon equation expansion method (ShGEEM). Constraint conditions that guarantee the existence of valid solitary wave solutions are given. Under suitable choice of the parameter values, interesting three-dimensional graphs of some of the obtained solutions are plotted.

AtıfScopus37

İncele

Yokus, Asif; Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan

In this study, with the aid of Wolfram Mathematica 11, the modified exp (−Ω(η)) -expansion function method is used in constructing some new analytical solutions with novel structure such as the trigonometric and hyperbolic function solutions to the well-known nonlinear evolutionary equation, namely; the two-component second order KdV evolutionary system. Second, the finite forward difference method is used in analyzing the numerical behavior of this equation. We consider equation (6.5) and (6.6) for the numerical analysis. We examine the stability of the two-component second order KdV evolutionary system with the finite forward difference method by using the Fourier-Von Neumann analysis. We check the accuracy of the finite forward difference method with the help of L2 and L∞ norm error. We present the comparison between the exact and numerical solutions of the two-component second order KdV evolutionary system obtained in this article which and support with graphics plot. We observed that the modified exp (−Ω(η)) -expansion function method is a powerful approach for finding abundant solutions to various nonlinear models and also finite forward difference method is efficient for examining numerical behavior of different nonlinear models.

AtıfScopus114·WoS109·OpenAlex139

İncele

Cattani, Carlo; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Bulut, Hasan

This study investigates the Nizhnik-Novikov-Veselov and the Drinfel’d-Sokolov systems by using the extended sinh-Gordon equation expansion method. The Nizhnik-Novikov-Veselov system is an isotropic Lax extension of the one-dimensional Korteweg-de Vries equation and the Drinfel’d-Sokolov system is a nonlinear model that possesses some special forms of Lax pairs. Topological kink-type, topological, non-topological, compound topological-non-topological bell-type and singular soliton solutions are successfully constructed. Under the choice of suitable values of parameters, the 2D, 3D and contour graphs to some of the obtained solutions are plotted.

AtıfScopus87·WoS94·OpenAlex101

İncele

Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet

This paper constructs dark, bright, combined dark-bright, singular, combined singular soliton optical and singular periodic solutions to the conformable space-time fractional second order nonlinear Schrödinger equation with group velocity dispersion coefficient and spatiotemporal dispersion by using the extended sinh-Gordon equation expansion method. The constraint conditions for the existence of valid soliton solutions are given. The reported results in this study may be helpful in explaining the physical meaning of the studied model.

AtıfScopus51·WoS49·OpenAlex53

İncele

Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Aktürk, Tolga

This study constructs bright and singular optical solitons the (2 + 1)-dimensional NLSE and the Hirota equation by utilizing the new sine-Gordon expansion method. The parametric conditions for the existence of valid solitons are given. We give the variations of solitary and periodic wave solutions that depend on the parameters. We present the 2D, 3D and contour graphs to represent the kind of solutions secured in this study.

AtıfScopus40·OpenAlex41

İncele