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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 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.

History

Publication title

Journal of Physics A: Mathematical and General

Volume

29

Issue

4

Pagination

903-911

ISSN

0305-4470

Department/School

School of Natural Sciences

Publisher

Iop Publishing Ltd

Place of publication

Dirac House, Temple Back, Bristol, England, Bs1 6Be

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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