Yazar "Aliyu, Aliyu Isa" seçeneğine göre listele

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    Öğe
    Invariant Investigation and Exact Solutions of Some Differential Equations with Conformable Derivatives
    (Amer Scientific Publishers, 2018) Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Bayram, Mustafa
    In this work, the conformable Harry-Dym, conformable logarithmic-KdV and conformable Zakharov-Ito equations are studied by using the invariant subspace method (ISM). The method determines an invariant subspace and construct the exact solutions of the partial differential equations (PDEs) by reducing them to ordinary differential equations (ODEs). As a result of the calculations, polynomial and trigonometric function solutions are derived. Ultimately, for illustrating the acquired results, some numerical simulations are performed.
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    Öğe
    Optical solitons to the (n+1)-dimensional nonlinear Schrodinger's equation with Kerr law and power law nonlinearities using two integration schemes
    (World Scientific Publ Co Pte Ltd, 2019) Inc, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Bayram, Mustafa; Baleanu, Dumitru
    In this study, two integration techniques are employed to reach optical solitons to the (n + 1)-dimensional nonlinear Schrodinger's equation ((n + 1)-NLSE) with Kerr and power laws nonlinearities. These are the undetermined coefficient and Bernoulli sub-ODE methods. We acquired bright, dark, and periodic singular soliton solutions. The necessary conditions for the existence of these solitons are presented.
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    Öğe
    Symmetry reductions, explicit solutions, convergence analysis and conservation laws via multipliers approach to the Chen-Lee-Liu model in nonlinear optics
    (World Scientific Publ Co Pte Ltd, 2019) Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Bayram, Mustafa; Baleanu, Dumitru
    In this paper, symmetry analysis is performed for the nonlinear Chen-Lee-Liu equation (NCLE) arising in temporal pulses. New forms of explicit solutions of the equation are constructed using the optimal systems by applying the power series solutions (PSS) technique and the convergence of the PSS is investigated. Finally, the conservation laws (Cls) of the model is studied using the multiplier approach.