Matematik Bölümü Yayın Koleksiyonu

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Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "(2+1)-Dimensional Hyperbolic Nonlinear Schrodinger Equation"

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    Citation Count: Baleanu, Dumitru...et al. (2021). "The (2+1)-dimensional hyperbolic nonlinear Schrodinger equation and its optical solitons", AIMS Mathematics, Vol. 6, No. 9, pp. 9568-9581.
    The (2+1)-dimensional hyperbolic nonlinear Schrodinger equation and its optical solitons
    (2021) Baleanu, Dumitru; Hosseini, Kamyar; Salahshour, Soheil; Sadri, Khadijeh; Mirzazadeh, Mohammad; Park, Choonkil; Ahmadian, Ali; 56389; Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü
    A comprehensive study on the (2+1)-dimensional hyperbolic nonlinear Schrodinger (2D-HNLS) equation describing the propagation of electromagnetic fields in self-focusing and normally dispersive planar wave guides in optics is conducted in the current paper. To this end, after reducing the 2D-HNLS equation to a one-dimensional nonlinear ordinary differential (1D-NLOD) equation in the real regime using a traveling wave transformation, its optical solitons are formally obtained through a group of well-established methods such as the exponential and Kudryashov methods. Some graphical representations regarding optical solitons that are categorized as bright and dark solitons are considered to clarify the dynamics of the obtained solutions. It is noted that some of optical solitons retrieved in the current study are new and have been not retrieved previously.