Add to ORKGIn this paper, symmetries of the canonical geodesic equations of indecomposable nilpotent Lie groups of dimension five are constructed. For each case, the associated system of geodesics is provided. In addition, a basis for the associated Lie algebra of symmetries as well as the corresponding non-zero Lie brackets are listed and classified. This is a joint work with Ryad Ghanam and Gerard Thompson
Abstract. This paper gives a comprehensive analysis of the inverse problem of Lagrangian dynamics fo...
It is shown that the group of geometrical symmetries of the Universal equation of D-dimensional spac...
This paper describes a method that enables the user to construct systematically the set of all discr...
In this investigation, we present symmetry algebras of the canonical geodesic equations of the indec...
For each of the two and three-dimensional indecomposable Lie algebras the geodesic equations of the ...
In order to characterize the systems of second-order ODEs which admit a regular Lagrangian function,...
For each of the four-dimensional indecomposable Lie algebras the geodesic equations of the associate...
In this dissertation we study a five-dimensional two-step nilpotent matrix Lie group. Some basic grou...
Lie symmetry analysis of differential equations provides a powerful and fundamental framework to the...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
We discuss the Lie symmetry approach to homogeneous, linear, ordinary differential equations in an a...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
We investigate the relation of the Lie point symmetries for the geodesic equations with the collinea...
In this thesis symmetry methods have been used to solve some differential equations and to find the ...
The formal models of physical systems are typically written in terms of differential equations. A tr...
Abstract. This paper gives a comprehensive analysis of the inverse problem of Lagrangian dynamics fo...
It is shown that the group of geometrical symmetries of the Universal equation of D-dimensional spac...
This paper describes a method that enables the user to construct systematically the set of all discr...
In this investigation, we present symmetry algebras of the canonical geodesic equations of the indec...
For each of the two and three-dimensional indecomposable Lie algebras the geodesic equations of the ...
In order to characterize the systems of second-order ODEs which admit a regular Lagrangian function,...
For each of the four-dimensional indecomposable Lie algebras the geodesic equations of the associate...
In this dissertation we study a five-dimensional two-step nilpotent matrix Lie group. Some basic grou...
Lie symmetry analysis of differential equations provides a powerful and fundamental framework to the...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
We discuss the Lie symmetry approach to homogeneous, linear, ordinary differential equations in an a...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
We investigate the relation of the Lie point symmetries for the geodesic equations with the collinea...
In this thesis symmetry methods have been used to solve some differential equations and to find the ...
The formal models of physical systems are typically written in terms of differential equations. A tr...
Abstract. This paper gives a comprehensive analysis of the inverse problem of Lagrangian dynamics fo...
It is shown that the group of geometrical symmetries of the Universal equation of D-dimensional spac...
This paper describes a method that enables the user to construct systematically the set of all discr...