Scopus İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.Frontiers Media SaSubject: search.filters.subject.Beta Derivative

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  • Article
    Citation - WoS: 88
    Citation - Scopus: 94
    Optical Solitons Possessing Beta Derivative of the Chen-Lee Equation in Optical Fibers
    (Frontiers Media Sa, 2019) Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Yusuf, Abdullahi
    This research obtains some new optical soliton solutions with beta derivative for Chen-Lee-Liu equation (CLL) in optical fibers. Three integration schemes which are Ricatti-Bernoulli (RB) sub-ODE, generalized Bernoulli (GB) sub-ODE and generalized tanh (GT) methods are applied to reach such solutions. The constraints conditions for the existence of soliton solutions are reported. The solutions are obtained using newly introduced fractional derivative called beta derivative. Numerical simulations of some of the obtained solutions are illustrated.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 61
    Optical Solitons With M-Truncated and Beta Derivatives in Nonlinear Optics
    (Frontiers Media Sa, 2019) Inc, Mustafa; Baleanu, Dumitru; Yusuf, Abdullahi
    This paper studies optical solitons with M-truncated and beta derivatives (BD) for the Complex Ginzburg-Landau equation (CGLE) with Kerr Law nonlinearity. Two well-known integration schemes which are generalized tanh method (GTM) and generalized Bernoulli sub-ODE method (GBM) are utilized to extract such optical soliton solutions. For the successful existence of the solutions, the constraints conditions have been presented. The discussion for the physical features of the obtained solutions is reported.