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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, AliThis 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.Öğe On solitons and invariant solutions of the Magneto-electro-elastic circular rod(Taylor & Francis Ltd, 2016) Hashemi, Mir Sajjad; Inc, Mustafa; Kilic, Bulent; Akgul, AliIn this paper, we study themagneto-electro-elastic (MEE) circular rod by the aid of Lie group symmetry method. Corresponding symmetry reductions of MEE and its some invariant solutions using the Nucci's method are completely considered too. Subsequently, the soliton solutions are obtained using the first integral method.Öğe Solitary Wave Solutions for the Sawada-Kotera Equation(Amer Scientific Publishers, 2017) Inc, Mustafa; Kilic, Bulent; Karatas, Esra; Akgul, AliIn this paper, the solitary ansatz approach and the Hirota bilinear method are used to construct soliton solutions for the Sawada-Kotera equation (SKe). Topological, non-topological and multi-soliton solutions of the SKe are obtained. It is obtained the amplitude, the inverse width and the velocity of the soliton solutions. We plot two and three dimensional figures of the obtained some solutions by using Mathematica 9.