Field-dependent symmetries of a non-relativistic fluid model

As found by Bordemann and Hoppe and by Jevicki, a certain non-relativistic model of an irrotational and isentropic fluid, related to membranes and to pal tons, admits it Poincare symmetry. Bazeia and Jackiw associate this dyn amical symmetry to a novel type of field-dependent action on space-time. Th e Kaluza-Klein-type framework of Duval et al, is used to explain the origin of these symmetries and to derive the associated conserved quantities. In the non-interacting case, the symmetry extends to the entire conformal grou p. (C) 2000 Academic Press.