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.

References in corpus (3)

• Hamiltonian operators of Dubrovin-Novikov type in 2D
• On deformations of multidimensional Poisson brackets of hydrodynamic type
• Darboux coordinates for Hamiltonian structures defined by Novikov algebras

Cited by in corpus (1)

• Bi-Hamiltonian Systems in (2+1) and Higher Dimensions Defined by Novikov Algebras