Scopus İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Inc, MustafaSubject: search.filters.subject.Optical Soliton

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Now showing 1 - 9 of 9
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    On Some Novel Optical Solitons To the Cubic-Quintic Nonlinear Helmholtz Model
    (Springer, 2022) Inc, Mustafa; Tariq, Kalim U.; Tchier, Fairouz; Ilyas, Hamza; Baleanu, Dumitru; Khater, Mostafa M. A.
    The purpose of this study is to employ the Sine-Cosine expansion approach to produce some new sort of soliton solutions for the cubic-quintic nonlinear Helmholtz problem. The nonlinear complex model compensates for backward scattering effects that are overlooked in the more popular nonlinear Schrodinger equation. As a result, a number of novel traveling wave structures have been discovered. We also investigate the stability of solitary wave solutions for the governing model. Furthermore, the modulation instability is discussed by employing the standard linear-stability analysis. The 3D, contour and 2D graphs are visualized for several fascinating exact solutions to comprehend their behaviour.
  • Article
    Citation - WoS: 25
    Citation - Scopus: 26
    Optical Solitons and Modulation Instability Analysis With (3+1)-Dimensional Nonlinear Shrodinger Equation
    (Academic Press Ltd- Elsevier Science Ltd, 2017) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, Mustafa
    This paper addresses the (3 + 1)-dimensional nonlinear Shrodinger equation (NLSE) that serves as the model to study the propagation of optical solitons through nonlinear optical fibers. Two integration schemes are employed to study the equation. These are the complex envelope function ansatz and the solitary wave ansatz with Jaccobi elliptic function methods, we present the exact dark, bright and dark-bright or combined optical solitons to the model. The intensity as well as the nonlinear phase shift of the solitons are reported. The modulation instability aspects are discussed using the concept of linear stability analysis. The MI gain is got. Numerical simulation of the obtained results are analyzed with interesting figures showing the physical meaning of the solutions. (C) 2017 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 23
    Optical Solitons for Triki-Biswas Equation by Two Analytic Approaches
    (Amer inst Mathematical Sciences-aims, 2020) Alshomrani, Ali S.; Inc, Mustafa; Baleanu, Dumitru; Aliyu, Aliyu Isa
    The present study is devoted to using two analytic approaches to study the Triki-Biswas equation (TBE). The TBE model plays a vital role in propagation of short pulses of width around regions of sub-10 fs in optical. The analytic approaches used are the sine-Gordon expansion (SGEM) and the Riccatti Bernoulli sub-ODE (RBSO) methods. Chirped kink-type, bright envelope and singular solitons are formally derived.
  • Article
    Citation - WoS: 15
    Citation - Scopus: 15
    On Combined Optical Solitons of the One-Dimensional Schrodinger's Equation With Time Dependent Coefficients
    (de Gruyter Open Ltd, 2016) Inc, Mustafa; Baleanu, Dumitru; Kilic, Bulent
    This paper integrates dispersive optical solitons in special optical metamaterials with a time dependent coefficient. We obtained some optical solitons of the aforementioned equation. It is shown that the examined dependent coefficients are affected by the velocity of the wave. The first integral method (FIM) and ansatz method are applied to reach the optical soliton solutions of the one-dimensional nonlinear Schrodinger's equation (NLSE) with time dependent coefficients.
  • Article
    Citation - WoS: 32
    Citation - Scopus: 33
    Optical Solitons and Stability Analysis of the Nlse With Anti Cubic Nonlinearity
    (Academic Press Ltd- Elsevier Science Ltd, 2017) Inc, Mustafa; Baleanu, Dumitru; Asian, Ebru Cavlak; Aslan, Ebru Cavlak
    In this work, the Jacobi elliptic functions are used to obtain the optical solitons for NLSE with anti -cubic nonlinearity. As a result of the operations, dark and bright optical solitons are obtained. The stability analysis for the governing equation is analyzed and investigated. The constraint conditions for the existence of soliton are also determined. Three dimensional figures and the corresponding contour plots for the obtained solutions are plotted. (C) 2017 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 50
    Optical Solitons, Nonlinear Self-Adjointness and Conservation Laws for Kundu-Eckhaus Equation
    (Elsevier Science Bv, 2017) Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru
    In this article, Kundu-Eckhaus equation (KE) is studied from the perspective of modified tanhcoth method (MTC), extended Jacobi elliptic function expansion method (EJEF), Lie symmetry analysis, nonlinear self-adjointness and conservation laws (Cls). New soliton solutions like combined dark-bright, dark, periodic wave and singular soliton solutions are obtained. The equation is found to be a nonlinear self-adjoint, we construct the Cls using the new conservation theorem presented by Ibragimov. Physical interpretation for some of the obtained solutions are illustrated in Figures.
  • Article
    Citation - WoS: 40
    Citation - Scopus: 35
    Dark Optical Solitons and Conservation Laws To the Resonance Nonlinear Shrodinger's Equation With Kerr Law Nonlinearity
    (Elsevier Gmbh, 2017) Yusuf, Abdullahi; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru
    In this work, we investigate the soliton solutions to the resonant nonlinear Shrodinger's equation (R-NSE) with Kerr law nonlinearity. By adopting the Riccati-Bernoulli sub-ODE technique, we present the exact dark optical, dark-singular and periodic singular soliton solutions to the model. The soliton solutions appear with all necessary constraint conditions that are necessary for them to exist. We studied the R-NSE by analyzing a system of nonlinear partial differential equations (NPDEs) obtained by decomposing the equation into real and imaginary components. We derive the Lie point symmetry generators of the system, then we apply the general conservation theorem to establish a set of nontrivial and nonlocal conservation laws (Cls). Some interesting figures for the acquired solutions are Cls also presented. (C) 2017 Elsevier GmbH. All rights reserved.
  • Article
    Citation - WoS: 29
    Citation - Scopus: 29
    Optical Solitons of Transmission Equation of Ultra-Short Optical Pulse in Parabolic Law Media With the Aid of Backlund Transformation
    (Elsevier Gmbh, Urban & Fischer verlag, 2017) Baleanu, Dumitru; Inc, Mustafa; Al Qurashi, Maysaa' Mohamed
    The Backlund transformation is used to obtain optical soliton for a type of the Schrodinger equation. Kink-type and dark-optical soliton solutions are acquired of the Schrodinger equation. It is illustrated that the examined equation is integrable because if an equation has a Backlund transformation it could be integrable. Several constraint conditions for the parameters are derived that establish the existence of the soliton solutions. The numerical simulations supplement the analytical schemes. (C) 2017 Elsevier GmbH. All rights reserved.
  • Article
    Citation - WoS: 55
    Citation - Scopus: 55
    Optical Soliton Solutions of the Pulse Propagation Generalized Equation in Parabolic-Law Media With Space-Modulated Coefficients
    (Elsevier Gmbh, 2016) Kilic, Bulent; Baleanu, Dumitru; Inc, Mustafa
    In this paper, the Riccati equation is used to construct the soliton solutions for pulse propagation equation with z-dependent coefficients. The periodic wave and the optical soliton solutions are obtained for the pulse propagation equation with dependent coefficients. We show that the examined dependent coefficients effected the terms of equation's velocity. (C) 2015 Elsevier GmbH. All rights reserved.