Add to ORKGWe establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure. Finally we determine the precise upper bound of the dimension of this Lie group for some specific systems of partial differential equations
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
This volume contains papers based on some of the talks given at the NSF-CBMS conference on 'The Geom...
We establish a link between the study of completely integrable systems of partial differential equat...
We discuss the Lie symmetry approach to homogeneous, linear, ordinary differential equations in an a...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
Abstract. We consider families of linear, parabolic PDEs in n dimensions which possess Lie symmetry ...
AbstractSymmetries of differential equations play very important role in understanding of their prop...
Cartan's method of equivalence is used to prove that there exists two fundamental tensorial invarian...
The methods of differential geometry, in particular, the methods of Cartan's theory of projecti...
We discuss Lie algebras of the Lie symmetry groups of two generically non-integrable equations in on...
AbstractWe study the symmetry groups of three closely related PDEs. It is shown that the symmetry gr...
The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometr...
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
We study the geometry of differential equations determined uniquely by their point symmetries, that...
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
This volume contains papers based on some of the talks given at the NSF-CBMS conference on 'The Geom...
We establish a link between the study of completely integrable systems of partial differential equat...
We discuss the Lie symmetry approach to homogeneous, linear, ordinary differential equations in an a...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
Abstract. We consider families of linear, parabolic PDEs in n dimensions which possess Lie symmetry ...
AbstractSymmetries of differential equations play very important role in understanding of their prop...
Cartan's method of equivalence is used to prove that there exists two fundamental tensorial invarian...
The methods of differential geometry, in particular, the methods of Cartan's theory of projecti...
We discuss Lie algebras of the Lie symmetry groups of two generically non-integrable equations in on...
AbstractWe study the symmetry groups of three closely related PDEs. It is shown that the symmetry gr...
The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometr...
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
We study the geometry of differential equations determined uniquely by their point symmetries, that...
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
It is proved that every projective connection on an n-dimensional manifold M is locally defined by a...
This volume contains papers based on some of the talks given at the NSF-CBMS conference on 'The Geom...