Orbital stability of the black soliton to the Gross-Pitaevskii equation
published by Philippe Gravejat
in 2009
and research's language is
English
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Abstract in English
We establish the orbital stability of the black soliton, or kink solution, $v_0(x) = th big(frac{x}{sqrt{2}} big)$, to the one-dimensional Gross-Pitaevskii equation, with respect to perturbations in the energy space.