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Öğe Analytical Solutions and Parametric Studies of the Schamel Equation for Two Different Ion-Acoustic Waves in Plasmas(Pleiades Publishing, 2018) Daghan D.; Donmez O.A numerical investigation of the properties of two different ion-acoustic solitons has been performed by using analytical solutions of the Schamel equation. A new type of the analytical solution of the Schamel equation that describes soliton propagation with a negative phase velocity has been found for the first time. This new type of the solution has been applied to investigate the physical properties of two different plasmas and to understand the effect of nonextensivity and the effect of trapped electrons on ion-acoustic waves in a superthermal plasma. It is shown that the soliton amplitude and width depend on the nonextensivity parameter, superthermality of the electron distribution, and characteristic trapping parameter. © 2018, Pleiades Publishing, Ltd.Öğe Applications of homotopy perturbation method for nonlinear partial differential equations(World Scientific and Engineering Academy and Society, 2017) Daghan D.; Mart H.Y.; Yildiz G.Homotopy perturbation method is simply applicable to the different non-linear partial differential equations. In this paper, Drinfeld-Sokolov and Modified Benjamin-Bona-Mahony equations are is studied perturbatively by using homotopy perturbation method.Öğe Warped product metrics with rank-1 ricci tensor(2008) Bilge A.H.; Daghan D.Locally 2 + 2 warped product metrics with a Lorentzian base and Riemannian fiber are described in Newman-Penrose formalism. It is shown that solutions with rank- Ricci tensor are characterized by ?11 +3A = 0 and ?00 ?22 =(?11 - 3A)23. Integrability conditions for the Bianchi identities are studied and it is proved that the sources are null Einstein-Maxwell fields, massless scalar fields or stiff matter fields corresponding respectively to = 0, > 0 or < 0. © 2008 EAS EDP Sciences.