Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method
Citation
Aslan, İ. (2009). Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method. Applied Mathematics and Computation, 215(8), 3140-3147 doi:10.1016/j.amc.2009.09.056Abstract
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. Discrete soliton and periodic wave solutions with more arbitrary parameters, as well as discrete rational wave solutions, are revealed. It seems that the utilized method can provide highly accurate discrete exact solutions to NDDEs arising in applied mathematical and physical sciences.
Source
Applied Mathematics and ComputationVolume
215Issue
8Related items
Showing items related by title, author, creator and subject.
-
Travelling wave solutions to nonlinear physical models by means of the first integral method
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 ... -
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 ...