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.Complex Ginzburg-Landau Equation

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  • 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: 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.