Work

On the Orbital Stability of Gross-Pitaevskii Solitons

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-024-00257-2

Authors: Xiuqing Duan, Xiangrong Wang

Institutions: Hong Kong University of Science and Technology, Chinese University of Hong Kong, Chinese University of Hong Kong, Shenzhen

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funders: National Natural Science Foundation of China, Chinese University of Hong Kong, National Key Research and Development Program of China