We perform Lie analysis for a system of higher order difference equations with variable coefficients and derive non-trivial symmetries. We use these symmetries to find exact formulas for the solutions in terms of k. Furthermore, a detailed study for a specific value of k is presented. Our findings generalize some results in the literature
Lie group theory is applied to rational difference equations of the form xn+1 = xn−2xn xn−1(an + bnx...
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions...
In this paper we present a theory for calculating new symmetries for ordinary differential equations...
This paper describes a new symmetry-based approach to solving a given ordinary difference equation. ...
In order to apply Lie's symmetry theory for solving a differential equation it must be possible to i...
The discrete heat equation is worked out to illustrate the search of symmetries of difference equati...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
A method is presented for calculating the Lie point symmetries of a scalar difference equation on a ...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
In this paper, we apply a group theory method to derive the generators of the Lie algebra for a clas...
*Kara, Merve ( Aksaray, Yazar )In this paper we show that the system of difference equations xn = ay...
AbstractA method to derive the continuous nonpoint symmetries of ordinary difference equations (OΔE)...
Lie symmetries has been introduced by Sophus Lie to study differential equations. It has been one of...
We give a method for using explicitly known Lie symmetries of a system of differential equations to ...
AbstractLie symmetries of systems of second-order linear ordinary differential equations with consta...
Lie group theory is applied to rational difference equations of the form xn+1 = xn−2xn xn−1(an + bnx...
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions...
In this paper we present a theory for calculating new symmetries for ordinary differential equations...
This paper describes a new symmetry-based approach to solving a given ordinary difference equation. ...
In order to apply Lie's symmetry theory for solving a differential equation it must be possible to i...
The discrete heat equation is worked out to illustrate the search of symmetries of difference equati...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
A method is presented for calculating the Lie point symmetries of a scalar difference equation on a ...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
In this paper, we apply a group theory method to derive the generators of the Lie algebra for a clas...
*Kara, Merve ( Aksaray, Yazar )In this paper we show that the system of difference equations xn = ay...
AbstractA method to derive the continuous nonpoint symmetries of ordinary difference equations (OΔE)...
Lie symmetries has been introduced by Sophus Lie to study differential equations. It has been one of...
We give a method for using explicitly known Lie symmetries of a system of differential equations to ...
AbstractLie symmetries of systems of second-order linear ordinary differential equations with consta...
Lie group theory is applied to rational difference equations of the form xn+1 = xn−2xn xn−1(an + bnx...
A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions...
In this paper we present a theory for calculating new symmetries for ordinary differential equations...
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