Involutive orbits of non-Noether symmetry groups

Details Involutive orbits of non-Noether symmetry groups Involutive orbits of non-Noether symmetry groups

2005-04-19

arxiv.org/abs/math-ph/0504060v1

Physics

Mathematical Physics

LaTeX 2e, 10 pages, no figures

Scientific paper

10.1088/0305-4470/38/29/007

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 is investigated and relationship between these vector fields and non-Noether symmetries of Hamiltonian dynamical systems is outlined. Theory is illustrated with sample models: modified Boussinesq system and Broer-Kaup system.

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