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Comment on: The (G'/G)-expansion method for the nonlinear lattice equations [Commun Nonlinear Sci Numer Simulat 17 (2012) 3490-3498]
(Elsevier, 2012-12)
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) ...
Rational and multi-wave solutions to some nonlinear physical models
(Romanian Academy, 2013)
The Exp-function method is shown to be an effective tool to explicitly construct rational and multi-wave solutions of completely integral nonlinear evolution equations. The procedure does not require the bilinear representation ...
Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method
(Wiley, 2011-05)
In this paper, we present an application of some known generalizations of the Exp-function method to the fifth-order Burgers and to the seventh-order Korteweg de Vries equations for the first time. The two examples show ...
Analytic investigation of the (2 + 1)-dimensional Schwarzian Korteweg–de Vries equation for traveling wave solutions
(Elsevier BV., 2011-02-15)
By means of the two distinct methods, the Exp-function method and the extended (G0/G)-expansion method, we successfully performed an analytic study on the (2 + 1)-dimensional
Schwarzian Korteweg–de Vries equation. We ...
Travelling wave solutions to nonlinear physical models by means of the first integral method
(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 ...
Traveling wave solutions for nonlinear differential-difference equations of rational types
(Institute of Physics Publishing, 2016-01-01)
Differential-difference equations are considered to be hybrid systems because the spatial variable n is discrete while the time t is usually kept continuous. Although a considerable amount of research has been carried out ...
Exact and explicit solutions to nonlinear evolution equations using the division theorem
(Elsevier, 2011-06)
In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized long-wave Burgers equation and the Gilson-Pickering equation under a ...
The discrete (G′/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system
(Wiley, 2012-01)
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 ...
Application of the Exp-function method to the (2+1)-dimensional Boiti-Leon-Pempinelli equation using symbolic computation
(Taylor & Francis, 2011-03)
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International Journal of Computer Mathematics
Volume 88, Issue 4, March 2011, ...
Some remarks on exp-function method and its applications
(IOP Publishing, 2011-09)
Recently, many important nonlinear partial differential equations arising in the applied physical and mathematical sciences have been tackled by a popular approach, the so-called Exp-function method. In this paper, we ...
