Dynamical Studies of Equations from the Gambier Family

Скорочена інформація про документ
dc.contributor.authorGuha, P.
dc.contributor.authorGhose Choudhury, A.
dc.contributor.authorGrammaticos, B.
dc.date.accessioned2019-02-11T15:10:29Z
dc.date.available2019-02-11T15:10:29Z
dc.date.issued2011
dc.description.abstractWe consider the hierarchy of higher-order Riccati equations and establish their connection with the Gambier equation. Moreover we investigate the relation of equations of the Gambier family to other nonlinear differential systems. In particular we explore their connection to the generalized Ermakov-Pinney and Milne-Pinney equations. In addition we investigate the consequence of introducing Okamoto's folding transformation which maps the reduced Gambier equation to a Liénard type equation. Finally the conjugate Hamiltonian aspects of certain equations belonging to this family and their connection with superintegrability are explored.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Conference “Integrable Systems and Geometry” (August 12–17, 2010, Pondicherry University, Puducherry, India). The full collection is available at http://www.emis.de/journals/SIGMA/ISG2010.html. We wish to thank Alfred Ramani for enlightening discussions and constant encouragements. Two of us (PG and BG) would like to thank K.M. Tamizhmani, organizer of the conference Geometry of Integrable Systems at Pondicherry, India, for the invitation and his kind hospitality. One of the authors (AGC) wishes to acknowledge the support provided by the S.N. Bose National Centre for Basic Sciences, Kolkata in the form of an Associateship.uk_UA
dc.identifier.citationDynamical Studies of Equations from the Gambier Family / P. Guha, A. Ghose Choudhury, P. Guha // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 23 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146785
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleDynamical Studies of Equations from the Gambier Familyuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
028-Guha.pdf
Розмір:
354.99 KB
Формат:
Adobe Portable Document Format
Завантажити

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити

Колекція

Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік