George Chavchanidze 2005 J. Phys. A: Math. Gen. 38 6517 doi:10.1088/0305-4470/38/29/007
Involutive orbits of non-Noether symmetry groups
George Chavchanidze
Show affiliationsWe consider a set of functions on the Poisson manifold related by a continuous one-parameter group of transformations. A class of vector fields that produce involutive families of functions is investigated and the relationship between these vector fields and non-Noether symmetries of Hamiltonian dynamical systems is outlined. The theory is illustrated with two examples: a modified Boussinesq system and a Broer–Kaup system.
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Issue 29 (22 July 2005)
Received 20 April 2005, in final form 2 June 2005
Published 6 July 2005
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Involutive orbits of non-Noether symmetry groups
George Chavchanidze 2005 J. Phys. A: Math. Gen. 38 6517
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