A construction of Multidimensional Dubrovin-Novikov Brackets
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2018
- DOI:
- 10.48550/arXiv.1806.10382
- arXiv:
- arXiv:1806.10382
- Bibcode:
- 2018arXiv180610382S
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- Journal of Nonlinear Mathematical Physics, (2019) 26:2, 202-213