2026-06-28T15:23:37Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/514502023-07-18T02:52:02Zcom_20.500.14352_14col_20.500.14352_15

Two novel classes of solvable many-body problems of goldfish type with constraints Calogero, Francesco C. Gómez-Ullate Otaiza, David Two novel classes of many-body models with nonlinear interactions 'of goldfish type' are introduced. They are solvable provided the initial data satisfy a single constraint (in one case; in the other, two constraints), i.e., for such initial data the solution of their initial-value problem can be achieved via algebraic operations, such as finding the eigenvalues of given matrices or equivalently the zeros of known polynomials. Entirely isochronous versions of some of these models are also exhibited, i.e., versions of these models whose nonsingular solutions are all completely periodic with the same period. 2023-06-20T10:55:10Z 2023-06-20T10:55:10Z 2023-06-20T10:55:10Z 2007-05-18 journal article https://hdl.handle.net/20.500.14352/51450 1751-8113 10.1088/1751-8113/40/20/007 eng FIS2005-00752 MTM2006-00478 open access IOP Publishing Ltd