On the Orbital Stability of Gross-Pitaevskii Solitons
The one-dimensional Gross-Pitaevskii equation, under non-vanishing boundary condition, has a set of solitary solutions. The orbital stability of these solitons has been well established. However, the existing proof methods usually treat the cases of dark solitons and black solitons separately. Here we provide an alternative proof of this orbital stability result, which treats the two cases in a unified framework.
Authors
- Xiuqing Duan
- Xiangrong Wang (ORCID: https://orcid.org/0000-0002-8785-0416)
Institutions
- Hong Kong University of Science and Technology (HK)
- Chinese University of Hong Kong, Shenzhen (CN)
Publication Details
- Journal
- Journal of Nonlinear Mathematical Physics
- Published
- 2025-02-10
- DOI
- https://doi.org/10.1007/s44198-024-00257-2
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- National Natural Science Foundation of China
- Chinese University of Hong Kong
- National Key Research and Development Program of China