Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
Abstract
Lagrangian formulation for perfect fluid equations which hold invariant under the -conformal Galilei group with half-integer is proposed. It is based on a Clebsch-type parametrization and reproduces Lagrangian description of the Euler fluid equations for =12. The transition from the Lagrangian formulation to the Hamiltonian one is analyzed in detail.
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