Yazar "Tchier, Fairouz" seçeneğine göre listele

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    Öğe
    On soliton structures of generalized resonance equation with time dependent coefficients
    (Elsevier Gmbh, Urban & Fischer Verlag, 2017) Tchier, Fairouz; Inc, Mustafa; Kilic, Bulent; Akgul, Ali
    This paper integrates soliton, shock and singular solutions for the generalized long-short wave resonance equations with time dependent coefficients. We obtained several types of solitons of the mentioned equation. It is illustrated that the examined dependent coefficients are effected the speed of the wave. The first integral method (FIM) and ansatz method are applied to reach the soliton solutions of this equation. These solutions may be useful and desirable to explain some nonlinear physical phenomena. (C) 2016 Elsevier GmbH. All rights reserved.
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    Öğe
    On the solutions of electrohydrodynamic flow with fractional differential equations by reproducing kernel method
    (De Gruyter Open Ltd, 2016) Akgul, Ali; Baleanu, Dumitru; Inc, Mustafa; Tchier, Fairouz
    In this manuscript we investigate electrodynamic flow. For several values of the intimate parameters we proved that the approximate solution depends on a reproducing kernel model. Obtained results prove that the reproducing kernel method (RKM) is very effective. We obtain good results without any transformation or discretization. Numerical experiments on test examples show that our proposed schemes are of high accuracy and strongly support the theoretical results.
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    Öğe
    The computation of Lie point symmetry generators, modulational instability, classification of conserved quantities, and explicit power series solutions of the coupled system
    (Elsevier, 2023) Faridi, Waqas Ali; Yusuf, Abdullahi; Akgul, Ali; Tawfiq, Ferdous M. O.; Tchier, Fairouz; Al-deiakeh, Rawya; Sulaiman, Tukur A.
    The well-known Chaffee-Infante reaction hierarchy is examined in this article along with its reaction-diffusion coupling. It has numerous variety of applications in modern sciences, such as electromagnetic wave fields, fluid dynamics, high-energy physics, ion-acoustic waves in plasma physics, coastal engineering, and optical fibres. The physical processes of mass transfer and particle diffusion might be expressed in this way. The Lie invariance criteria is taken into consideration while we determine the symmetry generators. The suggested approach produces the six dimensional Lie algebra, where translation symmetries in space and time are associated to mass conservation and conservation of energy respectively, the other symmetries are scaling or dilation. Additionally, similarity reductions are performed, and the optimal system of the sub-algebra should be quantified. There are an enormous number of exact solutions can construct for the traveling waves when the governing system is transformed into ordinary differential equations using the similarity transformation technique. The power series approach is also utilized for ordinary differential equations to obtain closed -form analytical solutions for the proposed diffusive coupled system. The stability of the model under the limitations is ensured by the modulation instability analysis. The reaction diffusion hierarchy's conserved vectors are calculated using multiplier methods using Lie Backlund symmetries. The acquired results are presented graphically in 2-D and 3-D to demonstrate the wave propagation behavior.