Yazar "Inc, Mustafa" seçeneğine göre listele

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    Exact optical solitons of Radhakrishnan-Kundu-Lakshmanan equation with Kerr law nonlinearity
    (World Scientific Publ Co Pte Ltd, 2019) Ghanbari, Behzad; Inc, Mustafa; Yusur, Abdullahi; Bayram, Mustafa
    A new generalized exponential rational function method (GERFM) is used to acquire some new optical solitons of Radhakrishnan-Kundu-Lakshmanan (RKL) equation with Kerr nonlinearity. This equation is used to model propagation of solitons through an optical fiber. The well-known exponential rational function method is also a special case of the GERFM. The results reveal that the mentioned method is efficient and simple for solving different nonlinear partial differential equations.
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    Exact traveling wave solutions of the whitham-broer-kaup-like equation with time-dependent coefficients
    (Natural Sciences Publishing, 2019) Inc, Mustafa; Bayram, Mustafa
    The first integral method (FIM) is employed to solve the different type solutions of Whitham-Broer-Kaup-Like (WBKL) equation with time-dependent coefficient. We have acquired different types of solutions of this equation. We have also acquired the constraint conditions for the existence of the obtained solitons according to the parameters. It is shown that the method is effective and a direct method, based on the ring theory of commutative algebra. © 2019 NSP.
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    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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    On Discrete Fractional Solutions of Non-Fuchsian Differential Equations
    (MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2018) Yılmazer, Reşat; Inc, Mustafa; Bayram, Mustafa
    In this article, we obtain new fractional solutions of the general class of non-Fuchsian differential equations by using discrete fractional nabla operator ?? (0 < ? < 1). This operator is applied to homogeneous and nonhomogeneous linear ordinary differential equations. Thus, we obtain new solutions in fractional forms by a newly developed method.
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    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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    SOLITON SOLUTIONS FOR KUDRYASHOV-SINELSHCHIKOV EQUATION
    (Yildiz Technical Univ, 2019) Yusuf, Abdullahi; Inc, Mustafa; Bayram, Mustafa
    This paper acquires the closed form solutions for the Kudryashov-Sinelshchikov (KS) equation. The Riccati-Bernoulli (RB) sub-ODE method is used to acquire such solitons whose structure include trigonmetric, hyperbolic and algebraic structures. Some interesting figures for the obtained solutions are presented in order to shed light on the characteristics of the solutions.
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    Stability Analysis and Conservation Laws via Multiplier Approach for the Perturbed Kaup-Newell Equation
    (Amer Scientific Publishers, 2018) Yusuf, Abdullahi; Inc, Mustafa; Bayram, Mustafa
    This paper presents the stability analysis (SA) and the conservation laws (Cls) for the perturbed Kaup-Newell equation (pKNE) by using the stability analysis technique and the multiplier method, respectively. The pKNE was recently introduced from a generalized Kaup-Newell spectral problem with linear perturbation with an arbitrary constant beta. In a situation where by beta = 0 one reaches the standard Kaup-Newell equation which possesses a tri-Hamiltonian feature and is the Euler-Poincare flow on the space of first order differential operator.
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    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.