Year: 2010
Type: article
Abstract: We introduce the Richelot class of superintegrable systems in N -dimensions whose n ⩽ N equations of motion coincide with the Abel equations on the n − 1 genus hyperelliptic curve. Corresponding additional integrals of motion are the second-order polynomials of momenta and multiseparability of the Richelot superintegrable systems is related to the classical theory of covers of the hyperelliptic curves.
Author: A V Tsiganov
Institution: St Petersburg University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2069009278