Perturbations of dark solitons
| dc.contributor.author | Ablowitz, M. J. | en |
| dc.contributor.author | Nixon, S. D. | en |
| dc.contributor.author | Horikis, T. P. | en |
| dc.contributor.author | Frantzeskakis, D. J. | en |
| dc.date.accessioned | 2015-11-24T17:27:32Z | |
| dc.date.available | 2015-11-24T17:27:32Z | |
| dc.identifier.issn | 1364-5021 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13399 | |
| dc.rights | Default Licence | - |
| dc.subject | perturbation theory | en |
| dc.subject | solitons | en |
| dc.subject | optics | en |
| dc.subject | squared jost solutions | en |
| dc.subject | optical fibers | en |
| dc.subject | complete set | en |
| dc.subject | propagation | en |
| dc.subject | dynamics | en |
| dc.title | Perturbations of dark solitons | en |
| heal.abstract | A direct perturbation method for approximating dark soliton solutions of the nonlinear Schrodinger (NLS) equation under the influence of perturbations is presented. The problem is broken into an inner region, where the core of the soliton resides, and an outer region, which evolves independently of the soliton. It is shown that a shelf develops around the soliton that propagates with speed determined by the background intensity. Integral relations obtained from the conservation laws of the NLS equation are used to determine the properties of the shelf. The analysis is developed for both constant and slowly evolving backgrounds. A number of problems are investigated, including linear and nonlinear damping type perturbations. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1098/rspa.2010.0663 | - |
| heal.identifier.secondary | <Go to ISI>://000293168300010 | - |
| heal.identifier.secondary | http://rspa.royalsocietypublishing.org/content/467/2133/2597 | - |
| heal.journalName | Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2011 | - |
| heal.publisher | The Royal Society | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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