Scopus İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Aliyu, Aliyu IsaPublisher: search.filters.publisher.Springer Heidelberg

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 10
    Citation - Scopus: 14
    Optical Solitons, Explicit Solutions and Modulation Instability Analysis With Second-Order Spatio-Temporal Dispersion
    (Springer Heidelberg, 2017) Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru; Inc, Mustafa; Isa Aliyu, Aliyu
    This paper obtains the dark, bright, dark-bright or combined optical and singular solitons to the nonlinear Schrodinger equation (NLSE) with group velocity dispersion coefficient and second-order spatio-temporal dispersion coefficient, which arises in photonics and waveguide optics and in optical fibers. The integration algorithm is the sine-Gordon equation method (SGEM). Furthermore, the explicit solutions of the equation are derived by considering the power series solutions (PSS) theory and the convergence of the solutions is guaranteed. Lastly, the modulation instability analysis (MI) is studied based on the standard linear-stability analysis and the MI gain spectrum is obtained.
  • Article
    Citation - WoS: 23
    Citation - Scopus: 28
    Time Fractional Third-Order Variant Boussinesq System: Symmetry Analysis, Explicit Solutions, Conservation Laws and Numerical Approximations
    (Springer Heidelberg, 2018) Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru; Tchier, Fairouz; Isa Aliyu, Aliyu
    The current work provides comprehensive investigation for the time fractional third-order variant Boussinesq system (TFTOBS) with Riemann-Liouville (RL) derivative. Firstly, we obtain point symmetries, similarity variables, similarity transformation and reduce the governing equation to a special system of ordinary differential equation (ODE) of fractional order. The reduced equation is in the Erdelyi-Kober (EK) sense. Secondly, we solve the reduced system of ODE using the power series (PS) expansion method. The convergence analysis for the power series solution is analyzed and investigated. Thirdly, the new conservation theorem and the generalization of the Noether operators are applied to construct nonlocal conservation laws (CLs) for the TFTOBS. Finally, we use residual power series (RPS) to extract numerical approximation for the governing equations. Interesting figures that explain the physical understanding for both the explicit and approximate solutions are also presented.
  • Article
    Citation - WoS: 15
    Citation - Scopus: 16
    Beta Derivative Applied To Dark and Singular Optical Solitons for the Resonance Perturbed Nlse
    (Springer Heidelberg, 2019) Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Yusuf, Abdullahi
    In this research we obtain some dark and singular solitons for the resonance perturbed nonlinear Schrodinger equation (NLSE) with beta derivative (BD). Two well-known analytical approaches have been utilised to extract the results. The constraints conditions are stated for the well-being and existence of the results. Some figures have been plotted to demonstrate the physical behavior of the obtained solutions.