Add to ORKGResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda systems of type Bn and Cn. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a,b) as well as in the natural (q,p) coordinates. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.http://www.sciencedirect.com/science/article/B6VKR-42BT0VX-3/1/5111b82cd06e6016a123f286071a5d6
AbstractWe study the singularities (blow-ups) of the Toda lattice associated with a real split semis...
We construct the classical W-algebras for some non-abelian Toda systems associated with the Lie grou...
In this thesis we construct two integrable systems associated with an arbitrary simple Lie algebras:...
AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda syst...
AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda syst...
AbstractIn this letter we examine the interrelation between Noether symmetries, master symmetries an...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
AbstractIn this paper we review various aspects of nonperiodic full and tridiagonal Toda flow theory...
It is shown that the factorization relation on simple Lie groups with standard Poisson Lie structure...
A geometrical and neat framework is established to derive both Toda and periodic Toda systems from t...
AbstractIn this paper we review various aspects of nonperiodic full and tridiagonal Toda flow theory...
The work is devoted to the investigation of the non-linear systems of differential equations with pa...
We prove that the extended Toda hierarchy of [1] admits a nonabelian Lie algebra of infinitesimal sy...
AbstractWe study the singularities (blow-ups) of the Toda lattice associated with a real split semis...
We construct the classical W-algebras for some non-abelian Toda systems associated with the Lie grou...
In this thesis we construct two integrable systems associated with an arbitrary simple Lie algebras:...
AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda syst...
AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda syst...
AbstractIn this letter we examine the interrelation between Noether symmetries, master symmetries an...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
AbstractIn this paper we review various aspects of nonperiodic full and tridiagonal Toda flow theory...
It is shown that the factorization relation on simple Lie groups with standard Poisson Lie structure...
A geometrical and neat framework is established to derive both Toda and periodic Toda systems from t...
AbstractIn this paper we review various aspects of nonperiodic full and tridiagonal Toda flow theory...
The work is devoted to the investigation of the non-linear systems of differential equations with pa...
We prove that the extended Toda hierarchy of [1] admits a nonabelian Lie algebra of infinitesimal sy...
AbstractWe study the singularities (blow-ups) of the Toda lattice associated with a real split semis...
We construct the classical W-algebras for some non-abelian Toda systems associated with the Lie grou...
In this thesis we construct two integrable systems associated with an arbitrary simple Lie algebras:...