Matematik Bölümü Yayın Koleksiyonu

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

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Author: search.filters.author.Javeed, ShumailaPublisher: search.filters.publisher.Iop Publishing Ltd

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  • Article
    Citation - WoS: 12
    Citation - Scopus: 16
    Soliton Solutions of Nonlinear Boussinesq Models Using the Exponential Function Technique
    (Iop Publishing Ltd, 2021) Baleanu, Dumitru; Nawaz, Sidra; Rezazadeh, Hadi; Javeed, Shumaila
    This paper deals with the new analytical solutions of conformable nonlinear Boussinesq equations. Boussinesq equation is one of the important equation in the field of applied mathematics and engineering, particularly in optical fibers, plasma physics, fluid dynamics, signal processing, and shallow water etc. The focus of this paper is to obtain the new explicit solutions of conformable Boussinesq equations. Exponential function technique is employed to solve the considered models. The conformable properties are utilized to obtain new analytical solutions for this type of nonlinear Boussinesq equations. The new analytical solutions are acquired especially for the space-time boussinesq equation. The results are shown graphically. The obtained solutions can be useful for engineers and physicists to further analyze the phenomena. The implemented technique is valuable for finding new analytical solutions of nonlinear partial differential equations (PDEs).
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    Ginzburg Landau Equation's Innovative Solution (Gleis)
    (Iop Publishing Ltd, 2021) Rezazadeh, Hadi; Baleanu, Dumitru; Desta Leta, Temesgen; Javeed, Shumaila; Alimgeer, Khurram Saleem; El Achab, Abdelfattah; Achab, Abdelfattah E.L.; Leta, Temesgen Desta
    A novel soliton solution of the famous 2D Ginzburg-Landau equation is obtained. A powerful Sine-Gordon expansion method is used for acquiring soliton solutions 2D Ginzburg-Landau equation. These solutions are obtained with the help of contemporary software (Maple) that allows computation of equations within the symbolic format. Some new solutions are depicted in the forms of figures. The Sine-Gordon method is applicable for solving various non-linear complex models such as, Quantum mechanics, plasma physics and biological science.