The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve

We propose an approach to constructing semiclassical solutions for the generalized multidimensional Gross−Pitaevskii equation with a nonlocal interaction term. The key property of the solutions is that they are concentrated on a one-dimensional manifold (curve) that evolves over time. The...

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Bibliographic Details
Main Authors: Alexander V. Shapovalov, Anton E. Kulagin, Andrey Yu. Trifonov
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/2/201