Solitons and solitonic vortices in a strip. (English) Zbl 1510.35254
The ground state of the Gross-Pitaevskii energy in a strip with a phase imprinting condition is investigated. Their work is motivated by recent experiments on matter waves solitons. Then the ground state are discussed in two different cases of the width of the strip. And in particular, the explicit expression of the limiting phase for the large strip is given.
Reviewer: Jipeng Cheng (Xuzhou)
MSC:
| 35Q51 | Soliton equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35R09 | Integro-partial differential equations |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 49K20 | Optimality conditions for problems involving partial differential equations |
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