Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility

• Дата: 2007
• Автор: Sergyeyev, A.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2007
• Назва видання: Symmetry, Integrability and Geometry: Methods and Applications
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/147362
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility / A. Sergyeyev // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 32 назв. — англ.

We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatible with a given nondegenerate weakly nonlocal symplectic structure J can be written as the Lie derivative of J −1 along a suitably chosen nonlocal vector field. Moreover, we present a new description f...