Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation
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🧮 math.AP
keywords
equationgross-pitaevskiione-dimensionalorbitalstabilitytravelinginversemethod
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In this paper, we prove the nonlinear orbital stability of the stationary traveling wave of the one-dimensional Gross-Pitaevskii equation by using Zakharov-Shabat's inverse scattering method.
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