Browsing Matematik Bölümü by Subject "Riccati Equation"

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A modified variational iteration method for solving fractional riccati differential equation by Adomian polynomials

Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru (Walter De Gruyter GMBH, 2013-03)

In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with ...
Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity

Chu, Yuming; Shallal, Muhannad A.; Mirhosseini-Alizamini, Seyed Mehdi; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru (2021)

The purpose of this work is to find new soliton solutions of the complex Ginzburg-Landau equation (GLE) with Kerr law non-linearity. The considered equation is an imperative nonlinear partial differential equation (PDE) ...
Optical soliton solutions of the pulse propagation generalized equation in parabolic-law media with space-modulated coefficients

İnç, Mustafa; Kılıç, Bülent; Baleanu, Dumitru (Elsevier GMBH, 2016)

In this paper, the Riccati equation is used to construct the soliton solutions for pulse propagation equation with z-dependent coefficients. The periodic wave and the optical soliton solutions are obtained for the pulse ...

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