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arXiv · 1206.2221

Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation

Fabrice Béthuel·Philippe Gravejat·Didier Smets
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Abstract

We establish the stability in the energy space for sums of solitons of the one-dimensional Gross-Pitaevskii equation when their speeds are mutually distinct and distinct from zero, and when the solitons are initially well-separated and spatially ordered according to their speeds.

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Fabrice Béthuel, Philippe Gravejat, Didier Smets. 2012-06-11. Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation. https://arxiv.org/abs/1206.2221

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