Volume 26, Issue 2, March 2019, Pages 202 - 213
A construction of Multidimensional Dubrovin-Novikov Brackets
Authors
Ian A. B. Strachan
School of Mathematics and Statistics, University of Glasgow Glasgow, G12 8SQ, U.K.,ian.strachan@glasgow.ac.uk
Received 2 July 2018, Accepted 28 October 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1591716How to use a DOI?
- Keywords
- Hamiltonian structures; integrable systems
- Abstract
A method for the construction of classes of examples of multi-dimensional, multi-component Dubrovin-Novikov brackets of hydrodynamic type is given. This is based on an extension of the original construction of Gelfand and Dorfman which gave examples of Novikov algebras in terms of structures defined from commutative, associative algebras. Given such an algebra, the construction involves only linear algebra.
- Copyright
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Ian A. B. Strachan PY - 2021 DA - 2021/01/06 TI - A construction of Multidimensional Dubrovin-Novikov Brackets JO - Journal of Nonlinear Mathematical Physics SP - 202 EP - 213 VL - 26 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1591716 DO - 10.1080/14029251.2019.1591716 ID - Strachan2021 ER -