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Ermakov systems of arbitrary order and dimension: structure and linearization
journal contributionposted on 2023-05-18, 19:07 authored by Schief, WK, Rogers, C, Andrew BassomAndrew Bassom
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.
Publication titleJournal of Physics A: Mathematical and General
Department/SchoolSchool of Natural Sciences
PublisherIop Publishing Ltd
Place of publicationDirac House, Temple Back, Bristol, England, Bs1 6Be