Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows

Gianni Manno, Maxim V. Pavlov

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

Starting from a homogeneous polynomial in momenta of arbitrary order we extract multi-component hydrodynamic-type systems which describe 2-dimensional geodesic flows admitting the initial polynomial as integral. All these hydrodynamic-type systems are semi-Hamiltonian, thus implying that they are integrable according to the generalized hodograph method. Moreover, they are integrable in a constructive sense as polynomial first integrals allow to construct generating equations of conservation laws. According to the multiplicity of the roots of the polynomial integral, we separate integrable particular cases.

Язык оригиналаанглийский
Страницы (с-по)197-205
Число страниц9
ЖурналJournal of Geometry and Physics
Том113
DOI
СостояниеОпубликовано - 1 мар 2017

Fingerprint Подробные сведения о темах исследования «Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows». Вместе они формируют уникальный семантический отпечаток (fingerprint).

  • Цитировать