Add to ORKGLie group theory is applied to rational difference equations of the form xn+1 = xn−2xn xn−1(an + bnxn−2xn) , where (an)n∈N0 , (bn)n∈N0 are non-zero real sequences. Consequently, new symmetries are derived and exact solutions, in unified manner, are constructed. Based on some constraints in the expression of the symmetry generators, we split these solutions into different categories. This work generalises a recent result by IbrahimKey words: Difference equation, symmetry, group invariant solutions, periodicity
For formulating mathematical models, engineering problems and physical problems, Nonlinear ordinary ...
Lie symmetries has been introduced by Sophus Lie to study differential equations. It has been one of...
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions...
In this paper, we apply a group theory method to derive the generators of the Lie algebra for a clas...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
This paper describes a new symmetry-based approach to solving a given ordinary difference equation. ...
Lie group theory was originally created more than 100 years ago as a tool for solving ordinary and p...
Our aim in this paper is to obtain formulas for solutions of rational difference equations such as x...
A method is presented for finding the Lie point symmetry transformations acting simultaneously on di...
In this paper, we consider the solution and periodicity of the following systems of difference equat...
Intended for researchers, numerical analysts, and graduate students in various fields of applied mat...
In order to apply Lie's symmetry theory for solving a differential equation it must be possible to i...
A group classification of invariant difference models, i.e. difference equations and meshes, is pres...
We perform Lie analysis for a system of higher order difference equations with variable coefficients...
For formulating mathematical models, engineering problems and physical problems, Nonlinear ordinary ...
Lie symmetries has been introduced by Sophus Lie to study differential equations. It has been one of...
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions...
In this paper, we apply a group theory method to derive the generators of the Lie algebra for a clas...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
This paper describes a new symmetry-based approach to solving a given ordinary difference equation. ...
Lie group theory was originally created more than 100 years ago as a tool for solving ordinary and p...
Our aim in this paper is to obtain formulas for solutions of rational difference equations such as x...
A method is presented for finding the Lie point symmetry transformations acting simultaneously on di...
In this paper, we consider the solution and periodicity of the following systems of difference equat...
Intended for researchers, numerical analysts, and graduate students in various fields of applied mat...
In order to apply Lie's symmetry theory for solving a differential equation it must be possible to i...
A group classification of invariant difference models, i.e. difference equations and meshes, is pres...
We perform Lie analysis for a system of higher order difference equations with variable coefficients...
For formulating mathematical models, engineering problems and physical problems, Nonlinear ordinary ...
Lie symmetries has been introduced by Sophus Lie to study differential equations. It has been one of...
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions...