Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Publisher: search.filters.publisher.World Scientific Publ Co Pte LtdSubject: search.filters.subject.Optical Solitons

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Now showing 1 - 6 of 6
  • Article
    Citation - WoS: 7
    Citation - Scopus: 9
    Solitons and Complexitons To the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Model
    (World Scientific Publ Co Pte Ltd, 2019) Li, Yongjin; Inc, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; Aliyu, Aliyu Isa
    This paper investigates the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (HMF) model. The model describes the nonlinear spin dynamics of HMF. By adopting the modified F-Expansion and projective Riccati equation methods, we report the dark, combined dark-bright and envelope optical solitons, complexitons singular solutions of the equation along with the conditions that must be satisfied for solitons to exist. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Propagation of Diverse Ultrashort Pulses in Optical Fiber To Triki-Biswas Equation and Its Modulation Instability Analysis
    (World Scientific Publ Co Pte Ltd, 2021) Yusuf, Abdullahi; Yusuf, Bashir; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir
    This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki-Biswas model equation. The aforesaid model equation is the generalization of the derivative nonlinear Schrodinger equation which describes the ultrashort pulse propagation with non-Kerr dispersion. The study is carried out by means of a novel efficient integration scheme. During this work, a sequence of optical solitons is produced that may have an important in optical fiber systems. The results show that the studied model hypothetically has incredibly rich optical soliton solutions. The constraint conditions for valid soliton solutions are also reported. The gained results show that the applied method is efficient, powerful and can be applied to various complex models with the help of representative calculations.
  • Article
    Optical solitons to the (n+1)-dimensional nonlinear Schrodinger's equation with Kerr law and power law nonlinearities using two integration schemes
    (World Scientific Publ Co Pte Ltd, 2019) İnç, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Bayram, Mustafa; Baleanu, Dumitru
    In this study, two integration techniques are employed to reach optical solitons to the (n + 1)-dimensional nonlinear Schrodinger's equation ((n + 1)-NLSE) with Kerr and power laws nonlinearities. These are the undetermined coefficient and Bernoulli sub-ODE methods. We acquired bright, dark, and periodic singular soliton solutions. The necessary conditions for the existence of these solitons are presented.
  • Article
    Solitons and complexitons to the (2+1)-dimensional Heisenberg ferromagnetic spin chain model
    (World Scientific Publ Co Pte Ltd, 2019) Aliyu, Aliyu Isa; Li, Yongjin; İnç, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.
    This paper investigates the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (HMF) model. The model describes the nonlinear spin dynamics of HMF. By adopting the modified F-Expansion and projective Riccati equation methods, we report the dark, combined dark-bright and envelope optical solitons, complexitons singular solutions of the equation along with the conditions that must be satisfied for solitons to exist. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 5
    Modulation Instability and Some Dark and Bright Optical Solitons in Weakly Nonlocal Media With General Polynomial Law Nonlinearity
    (World Scientific Publ Co Pte Ltd, 2020) Latif, M. S. Abdel; Baleanu, Dumitru; Kader, A. H. Abdel
    In this paper, the modulation instability (MI) of a (1+1)-dimensional nonlocal nonlinear Schrodinger equation with general polynomial law nonlinearity and an external potential is investigated. Some new dark and bright soliton solutions are obtained for polynomial law nonlinearities of third and fifth orders.
  • Article
    Citation - WoS: 11
    Citation - Scopus: 15
    Optical Solitons To the (n+1)-Dimensional Nonlinear Schrodinger's Equation With Kerr Law and Power Law Nonlinearities Using Two Integration Schemes
    (World Scientific Publ Co Pte Ltd, 2019) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Bayram, Mustafa; Baleanu, Dumitru; Inc, Mustafa
    In this study, two integration techniques are employed to reach optical solitons to the (n + 1)-dimensional nonlinear Schrodinger's equation ((n + 1)-NLSE) with Kerr and power laws nonlinearities. These are the undetermined coefficient and Bernoulli sub-ODE methods. We acquired bright, dark, and periodic singular soliton solutions. The necessary conditions for the existence of these solitons are presented.