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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56816In 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.LaTeX 2e, 5 pages, no figuresMathematical PhysicsDynamical SystemsSymplectic Geometry70H33, 70H06, 53Z05Bi-Hamiltonian structure as a shadow of non-Noether symmetrytext