Exact Solutions of Non-Linear Lattice Equations by an Improved Exp-Function Method
نویسندگان
چکیده
منابع مشابه
Exact Solutions of Non-Linear Lattice Equations by an Improved Exp-Function Method
In this paper, the exp-function method is improved to construct exact solutions of non-linear lattice equations by modifying its exponential function ansätz. The improved method has two advantages. One is that it can solve non-linear lattice equations with variable coefficients, and the other is that it is not necessary to balance the highest order derivative with the highest order nonlinear te...
متن کاملSolutions of Nonlinear Differential Equations by Exp-function Method
Abstract: In this paper, we apply the exp-function method to construct solutions of nonlinear differential equations which arise in various branches of physics, engineering and applied sciences. The proposed scheme proves to be very efficient and compatible to deal with the nonlinearity and versatility of the problems. Numerical results clearly indicate the reliability and efficiency of the sug...
متن کاملExact and numerical solutions of linear and non-linear systems of fractional partial differential equations
The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
متن کاملThe Exp-Function Method for the Riccati Equation and Exact Solutions of Dispersive Long Wave Equations
In this paper, the Exp-function method is used to seek new generalized solitonary solutions of the Riccati equation. Based on the Riccati equation and one of its generalized solitonary solutions, new exact solutions with three arbitrary functions of the (2+1)-dimensional dispersive long wave equations are obtained. Compared with the tanh-function method and its extensions, the proposed method i...
متن کاملExact solutions for wave-like equations by differential transform method
Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Entropy
سال: 2015
ISSN: 1099-4300
DOI: 10.3390/e17053182