Gruner, K. T. (2021). Soliton solutions of the nonlinear Schrodinger equation with defect conditions. Nonlinearity, 34 (9). S. 6017 - 6050. BRISTOL: IOP PUBLISHING LTD. ISSN 1361-6544
Full text not available from this repository.Abstract
Motivated by a recent development in the derivation of soliton solutions for initial-boundary value problems via the dressing method, we reconsider solutions to the nonlinear Schrodinger (NLS) equation on two half-lines connected via integrable defect conditions. The dressing method to construct soliton solutions is applied, while preserving the spectral boundary constraint with a time-dependent defect matrix. Moreover, N-soliton solutions are explicitly constructed and it is proven that the solitons are transmitted through the defect independently of one another.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-562387 | ||||||||
| DOI: | 10.1088/1361-6544/abe17e | ||||||||
| Journal or Publication Title: | Nonlinearity | ||||||||
| Volume: | 34 | ||||||||
| Number: | 9 | ||||||||
| Page Range: | S. 6017 - 6050 | ||||||||
| Date: | 2021 | ||||||||
| Publisher: | IOP PUBLISHING LTD | ||||||||
| Place of Publication: | BRISTOL | ||||||||
| ISSN: | 1361-6544 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/56238 |
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