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Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry

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arxiv 2302.01565 v2 pith:3VET3BQN submitted 2023-02-03 hep-th

Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry

classification hep-th
keywords equationshamiltonianfluidformulationfoundgalileil-conformalperfect
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry is proposed. For an arbitrary half-integer value of the parameter l, the Hamilton and non-canonical Poisson brackets are found, in terms of which the original higher derivative equations of motion take the conventional Hamiltonian form. The full set of conserved charges is found and their algebra is established.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Perfect fluid equations with nonrelativistic conformal supersymmetries

    hep-th 2026-05 unverdicted novelty 5.0

    Constructs supersymmetric perfect fluid equations for N=2 conformal Newton-Hooke and N=1 l-conformal Galilei superalgebras using Hamiltonian methods with anticommuting superpartner fields for density and velocity.

  2. Perfect fluid equations with nonrelativistic conformal symmetry: Exact solutions

    math-ph 2026-04 unverdicted novelty 5.0

    Exact solutions to perfect fluid equations are built via invariance under Schrödinger, l-conformal Galilei, or Lifshitz groups, producing Bjorken-like velocity fields with tunable high-density peaks.

  3. On the instability of some upward propagating, exact, nonlinear mountain waves

    physics.ao-ph 2026-04 unverdicted novelty 5.0

    Exact dry-adiabatic mountain waves are linearly unstable for steepness above 1/3, with an unstable layer beneath the tropopause.