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Ermakov systems of arbitrary order and dimension: structure and linearization


Schief, WK and Rogers, C and Bassom, AP, Ermakov systems of arbitrary order and dimension: structure and linearization, Journal of Physics A: Mathematical and General, 29, (4) pp. 903-911. ISSN 0305-4470 (1996) [Refereed Article]

DOI: doi:10.1088/0305-4470/29/4/017


Ermakov systems of arbitrary order and dimension are constructed. These inherit an underlying linear structure based on that recently established for the classical Ermakov system. As an application, alignment of a (2 + 1)-dimensional Ermakov and integrable Ernst system is shown to produce a novel integrable hybrid of a (2 + 1)-dimensional sinh - Gordon system and of a conventional Ermakov system.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108547
Year Published:1996
Web of Science® Times Cited:47
Deposited By:Mathematics and Physics
Deposited On:2016-04-22
Last Modified:2016-07-08

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