In this paper we use the group-based discrete moving frame method to study invariant evolutions in n-dimensional centro-affine space. We derive the induced integrable equations for invariants, which can be transformed to local and nonlocal multi-component Toda lattices under a Miura transformation, and hence establish their geometric realisations in centro-affine space
. This paper surveys the new, algorithmic theory of moving frames developed by the author and M. Fel...
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sut...
Abstract. We use Cartan’s method of moving frames to compute a complete set of local invariants for ...
Group based moving frames have a wide range of applications, from the classical equiva-lence problem...
We study lattice Miura transformations for the Toda and Volterra lattices, relativistic Toda and Vol...
In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda ...
In this paper, we develop the theory of the discrete moving frame in two different ways. In the firs...
The affine Toda field theory is studied as a 2+1-dimensional system. The third dimension appears as ...
This article is a general introduction to Cartan's moving frame method which is elegant, simple and ...
Abstract. We use Cartan’s method of moving frames to compute a complete set of local invariants for ...
AbstractThis paper surveys algorithmic aspects of a general equivariant theory of moving frames
"Mathematical structures of integrable systems and their applications". September 5-7, 2018. edited ...
Dedicated to Jiri Patera and Pavel Winternitz on the occasion of their sixtieth birthdays. First int...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
. This paper surveys the new, algorithmic theory of moving frames developed by the author and M. Fel...
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sut...
Abstract. We use Cartan’s method of moving frames to compute a complete set of local invariants for ...
Group based moving frames have a wide range of applications, from the classical equiva-lence problem...
We study lattice Miura transformations for the Toda and Volterra lattices, relativistic Toda and Vol...
In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda ...
In this paper, we develop the theory of the discrete moving frame in two different ways. In the firs...
The affine Toda field theory is studied as a 2+1-dimensional system. The third dimension appears as ...
This article is a general introduction to Cartan's moving frame method which is elegant, simple and ...
Abstract. We use Cartan’s method of moving frames to compute a complete set of local invariants for ...
AbstractThis paper surveys algorithmic aspects of a general equivariant theory of moving frames
"Mathematical structures of integrable systems and their applications". September 5-7, 2018. edited ...
Dedicated to Jiri Patera and Pavel Winternitz on the occasion of their sixtieth birthdays. First int...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
. This paper surveys the new, algorithmic theory of moving frames developed by the author and M. Fel...
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sut...
Abstract. We use Cartan’s method of moving frames to compute a complete set of local invariants for ...
DOI
Add to ORKG