|
This article is cited in 16 scientific papers (total in 16 papers)
The Lagrangian structure of Calogero's goldfish model
U. P. Jairuk, S. Yoo-Kong, M. Tanasittikosol Department of Physics, Faculty of Science,
King Mongkut's University of Technology Thonburi
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.
Keywords:
Calogero's goldfish, multitime Lagrangian 1-forms, closure relation.
Received: 07.10.2014
Citation:
U. P. Jairuk, S. Yoo-Kong, M. Tanasittikosol, “The Lagrangian structure of Calogero's goldfish model”, TMF, 183:2 (2015), 254–273; Theoret. and Math. Phys., 183:2 (2015), 665–683
Linking options:
https://www.mathnet.ru/eng/tmf8800https://doi.org/10.4213/tmf8800 https://www.mathnet.ru/eng/tmf/v183/i2/p254
|
Statistics & downloads: |
Abstract page: | 303 | Full-text PDF : | 115 | References: | 41 | First page: | 14 |
|