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Exact solutions of a fractional-type differential-difference equation related to discrete MKdV equation
The extended simplest equation method is used to solve exactly a new differential-difference equation of fractional-type, proposed by Narita [J. Math. Anal. Appl. 381 (2011) 963] quite recently, related to the discrete MKdV equation. It is shown that the model supports three types of exact solutions with arbitrary parameters: hyperbolic, trigonometric and rational, which have not been reported before.
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Korkut Uysal, Sıla Övgü (Izmir Institute of Technology, 2015-06)This thesis proposes two different numerical methods for solving nonlinear oscillation problems which appear in engineering and physics. Thus, the study is conducted in two parts. The first part introduces and analyzes ...
Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)-expansion method Aslan, İsmail (Elsevier, 2009-09)In this paper, we demonstrate the effectiveness of the so-called (G′/G)-expansion method by examining some nonlinear evolution equations with physical interest. Our work is motivated by the fact that the (G′/G)-expansion ...
Construction of exact solutions for fractional-type difference-differential equations via symbolic computation Aslan, İsmail (Elsevier, 2013-11)This paper deals with fractional-type difference-differential equations by means of the extended simplest equation method. First, an equation related to the discrete KdV equation is considered. Second, a system related to ...