Nonlocal nonlinear Schrödinger equations and their soliton solutions
| buir.contributor.author | Gürses, Metin | |
| dc.citation.epage | 051501-17 | en_US |
| dc.citation.issueNumber | 5 | en_US |
| dc.citation.spage | 051501-1 | en_US |
| dc.citation.volumeNumber | 59 | en_US |
| dc.contributor.author | Gürses, Metin | en_US |
| dc.contributor.author | Pekcan, A. | en_US |
| dc.date.accessioned | 2019-02-21T16:02:56Z | |
| dc.date.available | 2019-02-21T16:02:56Z | |
| dc.date.issued | 2018-05-04 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | We study standard and nonlocal nonlinear Schrödinger (NLS) equations obtained from the coupled NLS system of equations (Ablowitz-Kaup-Newell-Segur (AKNS) equations) by using standard and nonlocal reductions, respectively. By using the Hirota bilinear method, we first find soliton solutions of the coupled NLS system of equations; then using the reduction formulas, we find the soliton solutions of the standard and nonlocal NLS equations. We give examples for particular values of the parameters and plot the function |q(t, x)|2 for the standard and nonlocal NLS equations. | |
| dc.description.provenance | Made available in DSpace on 2019-02-21T16:02:56Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018 | en |
| dc.description.sponsorship | This work is partially supported by the Scientific and Technological Research Council of Turkey (TÜB˙TAK). | |
| dc.identifier.doi | 10.1063/1.4997835 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.uri | http://hdl.handle.net/11693/50058 | |
| dc.language.iso | English | |
| dc.publisher | American Institute of Physics | |
| dc.relation.isversionof | https://doi.org/10.1063/1.4997835 | |
| dc.relation.project | Türkiye Bilimsel ve Teknolojik Araştirma Kurumu, TÜBITAK | |
| dc.source.title | Journal of Mathematical Physics | en_US |
| dc.title | Nonlocal nonlinear Schrödinger equations and their soliton solutions | en_US |
| dc.type | Article | en_US |
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