Miura maps for Stäckel systems-Reference-Cited by-同舟云学术

Miura maps for Stäckel systems

Published:2023-12-01 Issue:12 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Marciniak Krzysztof¹^ORCID,Błaszak Maciej²^ORCID

Affiliation:

1. Department of Science and Technology Campus Norrköping, Linköping University 1 , 601-74 Norrköping, Sweden

2. Faculty of Physics, Department of Mathematical Physics and Computer Modelling, A. Mickiewicz University 2 , 61-614 Poznań, Poland

Abstract

We introduce the concept of Miura maps between parameter-dependent algebraic curves of hyper-elliptic type. These Miura maps induce Miura maps between Stäckel systems defined (on the extended phase space) by the considered algebraic curves. This construction yields a new way of generating multi-Hamiltonian representations for Stäckel systems.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0169596/18252423/122903_1_5.0169596.pdf

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