Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Now showing 1 - 7 of 7
  • Correction
    Citation - WoS: 3
    Citation - Scopus: 5
  • Article
    Citation - WoS: 24
    Citation - Scopus: 32
    Advanced Exact Solutions To the Nano-Ionic Currents Equation Through Mts and the Soliton Equation Containing the Rlc Transmission Line
    (Springer Heidelberg, 2023) Miah, M. Mamun; Iqbal, M. Ashik; Alshehri, Hashim M.; Baleanu, Dumitru; Osman, M. S.; Chowdhury, M. Akher
    In this study, the double (G '/G, 1/G)-expansion method is utilized for illustrating the improved explicit integral solutions for the two of nonlinear evolution equations. To expose the importance and convenience of our assumed method, we herein presume two models, namely the nano-ionic currents equation and the soliton equation. The exact solutions are generated with the aid of our proposed method in such a manner that the solutions involve to the rational, trigonometric, and hyperbolic functions for the first presumed nonlinear equation as well as the trigonometric and hyperbolic functions for the second one with meaningful symbols that promote some unique periodic and solitary solutions. The method used here is an extension of the (G '/G)-expansion method to rediscover all known solutions. We offer 2D and 3D charts of the various recovery solutions to better highlight our findings. Finally, we compared our results with those of earlier solutions.
  • Article
    Citation - WoS: 28
    Citation - Scopus: 29
    Solitons and Jacobi Elliptic Function Solutions To the Complex Ginzburg-Landau Equation
    (Frontiers Media Sa, 2020) Hosseini, Kamyar; Mirzazadeh, Mohammad; Osman, M. S.; Al Qurashi, Maysaa; Baleanu, Dumitru
    The complex Ginzburg-Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified Jacobi elliptic expansion method. In special cases, several dark and bright soliton solutions to the CGL equation are retrieved when the modulus of ellipticity approaches unity. The results presented in the current work can help to complete previous studies on the complex Ginzburg-Landau equation.
  • Article
    Citation - WoS: 32
    Citation - Scopus: 35
    A Variety of Novel Exact Solutions for Different Models With the Conformable Derivative in Shallow Water
    (Frontiers Media Sa, 2020) Kaplan, Melike; Haque, Md. Rabiul; Osman, M. S.; Baleanu, Dumitru; Kumar, Dipankar
    For different nonlinear time-conformable derivative models, a versatile built-in gadget, namely the generalized exp(-phi(xi))-expansion (GEE) method, is devoted to retrieving different categories of new explicit solutions. These models include the time-fractional approximate long-wave equations, the time-fractional variant-Boussinesq equations, and the time-fractional Wu-Zhang system of equations. The GEE technique is investigated with the help of fractional complex transform and conformable derivative. As a result, we found four types of exact solutions involving hyperbolic function, periodic function, rational functional, and exponential function solutions. The physical significance of the explored solutions depends on the choice of arbitrary parameter values. Finally, we conclude that the GEE method is more effective in establishing the explicit new exact solutions than the exp(-phi(xi))-expansion method.
  • Article
    Citation - WoS: 37
    Citation - Scopus: 42
    Different Types of Progressive Wave Solutions Via the 2d-Chiral Nonlinear Schrodinger Equation
    (Frontiers Media Sa, 2020) Baleanu, Dumitru; Tariq, Kalim Ul-Haq; Kaplan, Melike; Younis, Muhammad; Rizvi, Syed Tahir Raza; Osman, M. S.
    A versatile integration tool, namely the protracted (or extended) Fan sub-equation (PFS-E) technique, is devoted to retrieving a variety of solutions for different models in many fields of the sciences. This essay presents the dynamics of progressive wave solutions via the 2D-chiral nonlinear Schrodinger (2D-CNLS) equation. The solutions acquired comprise dark optical solitons, periodic solitons, singular dark (bright) solitons, and singular periodic solutions. By comparing the results gained in this work with other literature, it can be noticed that the PFS-E method is an useful technique for finding solutions to other similar problems. Furthermore, some new types of solutions are revealed that will help us better understand the dynamic behaviors of the 2D-CNLS model.
  • Article
    Citation - WoS: 79
    Citation - Scopus: 78
    Analytical and Numerical Simulations for the Kinetics of Phase Separation in Iron (fe-Cr (X=mo, Cu)) Based on Ternary Alloys
    (Elsevier, 2020) Osman, M. S.; Khater, M. M. A.; Attia, R. A. M.; Baleanu, D.; Lu, D.
    In this paper, we investigate the physical behavior of the basic elements that related to phase decomposition in ternary alloys of (Fe-Cr-Mo) and (Fe-Cr-Cu) according to analytical and approximate simulation. We study the dynamic of the separation phase for the ternary alloys of iron. The dynamical process of this separation has been described in a mathematical model called the Cahn-Hilliard equation. The minor element behavior in the process has been described by the Cahn-Hilliard equation. It describes the process of phase separation for two components of a binary fluid in ternary alloys of (Fe-Cr-Mo) and (Fe-Cr-Cu). We implement a modified auxiliary equation method and the cubic B-spline scheme on this mathematical model to show the dynamical process of phase separation and the concentration of one of two components in a system. We try obtaining the solitary and approximate solutions of this model to show the relation between the components in this phase. We discuss our solutions in view of a Stefan, Thomas-Windle, and Navier-Stokes models. Whereas, these models describe the motion of viscous fluid substance. (C) 2019 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 144
    Citation - Scopus: 167
    Generalized Exponential Rational Function Method for Extended Zakharov-Kuzetsov Equation With Conformable Derivative
    (World Scientific Publ Co Pte Ltd, 2019) Osman, M. S.; Baleanu, Dumitru; Chanbari, Behzad; Ghanbari, Behzad
    In this paper, new analytical obliquely propagating wave solutions for the time fractional extended Zakharov-Kuzetsov (FEZK) equation of conformable derivative are investigated. By using the main properties of the conformable derivative, the FEZK equation is transformed into integer-order differential equations, and the reduced equations are solved via the generalized exponential rational function method (GERFM). The shape and features for the resulting solutions are illustrated through three-dimensional (3D) plots and corresponding contour plots for various values of the free parameters.