Discretization and superintegrability all rolled into one

Результат исследований: Научные публикации в периодических изданияхстатья

Аннотация

Abelian integrals appear in mathematical descriptions of various physical processes. According to Abel's theorem these integrals are related to motion of a set of points along a plane curve around fixed points, which are rarely used in physical applications. We propose to interpret coordinates of the fixed points either as parameters of exact discretization or as additional first integrals for equations of motion reduced to Abelian quadratures on a symmetric product of algebraic curve.

Язык оригиналаАнглийский
Страницы (с-по)4924-4939
Число страниц16
ЖурналNonlinearity
Том33
Номер выпуска9
DOI
СостояниеОпубликовано - сен 2020

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