Bi-Hamiltonian structure as a shadow of non-Noether symmetry

Details Bi-Hamiltonian structure as a shadow of non-Noether symmetry Bi-Hamiltonian structure as a shadow of non-Noether symmetry

2001-06-20

arxiv.org/abs/math-ph/0106018v3

Physics

Mathematical Physics

LaTeX 2e, 5 pages, no figures

Scientific paper

In the present paper correspondence between non-Noether symmetries and
bi-Hamiltonian structures is disscussed. We show that in regular Hamiltonian
systems presence of the global bi-Hamiltonian structure is caused by symmetry
of the space of solution. As an example well known bi-Hamiltonian realisation
of Korteweg- De Vries equation is disscussed.

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