9 citations · 21 across the 9 of their papers we have counts for
9 papers
Involutive orbits of non-Noether symmetry groups
George Chavchanidze
We consider set of functions on Poisson manifold related by continues one-parameter group of transformations. Class of vector fields that produce involutive families of functions i…
Non-Noether symmetries in Hamiltonian Dynamical Systems
George Chavchanidze
We discuss geometric properties of non-Noether symmetries and their possible applications in integrable Hamiltonian systems. Correspondence between non-Noether symmetries and conse…
Non-Noether symmetries in integrable models
George Chavchanidze
In the present paper the non-Noether symmetries of the Toda model, nonlinear Schodinger equation and Korteweg-de Vries equations (KdV and mKdV) are discussed. It appears that these…
Non-Noether symmetries and their influence on phase space geometry
George Chavchanidze
We disscuss some geometric aspects of the concept of non-Noether symmetry. It is shown that in regular Hamiltonian systems such a symmetry canonically leads to a Lax pair on the al…
Remark on conservation laws associated with non-Noether symmetries
George Chavchanidze
In the present paper geometric aspects of relationship between non-Noether symmetries and conservation laws in Hamiltonian systems is discussed. It is shown that integrals of motio…
Free particle on SU(2) group manifold
George Chavchanidze, Levan Tskipuri
In the present paper detailed coordinate free description of the classical and quantum dynamics of free particle on SU(2) group manifold is carried out.