Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation

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Gerard, Patrick
Zhang, Zhifei
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Abstract
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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.
Comment: 36 pages
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Mathematics - Analysis of PDEs, 35Q55
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