Now showing items 1-7 of 7
The discrete (G′/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system
We introduce the discrete (G′/G)-expansion method for solving nonlinear differential-difference equations (NDDEs). As illustrative examples, we consider the differential-difference Burgers equation and the relativistic ...
Comment on: The (G'/G)-expansion method for the nonlinear lattice equations [Commun Nonlinear Sci Numer Simulat 17 (2012) 3490-3498]
We show that two of the nonlinear lattice equations studied by Ayhan & Bekir [Commun Nonlinear Sci Numer Simulat 17 (2012) 3490-3498] have already been investigated by Aslan [Commun Nonlinear Sci Numer Simulat 15 (2010) ...
On the application of the Exp-function method to nonlinear differential-difference equations
When applying the Exp-function method to nonlinear-differential difference equations, Bekir (2010)  reported incorrect results. © 2012 Elsevier Inc. All rights reserved.
On the application of the Exp-function method to the KP equation for N-soliton solutions
We observe that the form of the Kadomstev-Petviashvili equation studied by Yu (2011) [S. Yu, N-soliton solutions of the KP equation by Exp-function method, Appl. Math. Comput. (2011) doi:10.1016/j.amc.2010.12.095] is ...
Rational and multi-wave solutions to nonlinear evolution equations by means of the Exp-function method
(Politechnica University of Bucharest, 2012)
In this paper, we present a new application of the Exp-function method to carry out the integration of nonlinear evolution equations in terms of multi-wave and rational solutions. To elucidate the solution procedure, we ...
The first integral method for constructing exact and explicit solutions to nonlinear evolution equations
Problems that are modeled by nonlinear evolution equations occur in many areas of applied sciences. In the present study, we deal with the negative order KdV equation and the generalized Zakharov system and derive some ...
Some exact solutions for Toda type lattice differential equations using the improved (G′/G)-expansion method
Nonlinear lattice differential equations (also known as differential-difference equations) appear in many applications. They can be thought of as hybrid systems for the inclusion of both discrete and continuous variables. ...