Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation

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We discuss the zero-temperature hydrodynamics equations of bosonic and fermionic superfluids and their connection with generalized Gross-Pitaevskii and Ginzburg-Landau equations through a single superfluid nonlinear Schrodinger equation.
4 pages, no figures, prepared for the Special Issue of Laser Physics: Physics of Cold Trapped Atoms; in the second version corrected some typos; in the third version added some useful comments. To be published in Laser Physics (April 2009)

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