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Ermakov systems of arbitrary order and dimension: structure and linearization
journal contribution
posted on 2023-05-18, 19:07 authored by Schief, WK, Rogers, C, Andrew BassomAndrew BassomErmakov 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.
History
Publication title
Journal of Physics A: Mathematical and GeneralVolume
29Issue
4Pagination
903-911ISSN
0305-4470Department/School
School of Natural SciencesPublisher
Iop Publishing LtdPlace of publication
Dirac House, Temple Back, Bristol, England, Bs1 6BeRepository Status
- Restricted