On the Lagrangian structure of Calogero's Goldfish model

dc.contributor.author	U. Jairuk
dc.contributor.author	S. Yoo-Kong
dc.contributor.author	M. Tanasittikosol
dc.contributor.author	ผศ.ดร.สิขรินทร์ อยู่คง
dc.date.accessioned	2022-04-19T05:31:24Z
dc.date.available	2022-04-19T05:31:24Z
dc.date.issued	2015
dc.identifier.citation	Jairuk, U., Yoo-Kong, S. & Tanasittikosol, M. The Lagrangian structure of Calogero’s goldfish model. Theor Math Phys 183, 665–683 (2015). https://doi.org/10.1007/s11232-015-0283-1
dc.identifier.uri	https://modps76.lib.kmutt.ac.th/xmlui//handle/123456789/1660
dc.description.abstract	From a Lax pair ansatz, we obtain the discrete-time rational Calogero goldfish system. The discrete-time Lagrangians of the system have a discrete-time 1-form structure similar to the Lagrangians in the discrete-time Calogero-Moser system and the discrete-time Ruijsenaars-Schneider system. We obtain the Lagrangian hierarchy for the system as a result of a two-step passage to the continuum limit. As expected, the continuous-time Lagrangian preserves the 1-form structure. We establish a connection with the Kadomtsev-Petviashvili lattice systems.
dc.subject	Calogero’s goldfish
dc.subject	multitime Lagrangian 1-forms
dc.subject	closure relation
dc.title	On the Lagrangian structure of Calogero's Goldfish model
dc.type	Articles