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

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

2008-07-25

arxiv.org/abs/0807.4090v1

Mathematics

Analysis of PDEs

36 pages

Scientific paper

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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