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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Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method Aslan, İsmail (Elsevier, 2009-12)We extended the (G′/G)-expansion method to two well-known nonlinear differential-difference equations, the discrete nonlinear Schrödinger equation and the Toda lattice equation, for constructing traveling wave solutions. ...
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 ...
Aslan, İsmail (Indian Academy of Sciences, 2011-04)This paper presents the first integral method to carry out the integration of nonlinear partial differential equations in terms of travelling wave solutions. For illustration, three important equations of mathematical ...