Orbital stability of the black soliton to the Gross-Pitaevskii equation
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🧮 math.AP
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blackequationgross-pitaevskiiorbitalsolitonstabilityenergyestablish
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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.
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