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

Abstract

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.

36 pages

References in corpus (2)

• Travelling waves for the Gross-Pitaevskii equation II
• Orbital stability of the black soliton to the Gross-Pitaevskii equation