Abstract
For long wavelength, slightly nonlinear excitations and initial preparations such as the usual adiabatic invariant Pn-3 is space independent, the hydrodynamic model is equivalent to the water bag, and for long wavelengths a nice agreement is found with the full numerical solution of the Vlasov equation. For other initial conditions when the water bag cannot be defined, the hydrodynamic approach does not represent the correct behaviour.
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