Soliton solutions of an integrable nonlinear Schrödinger equation with quintic terms
| dc.contributor.author | Chowdury, A. | |
| dc.contributor.author | Kedziora, D. J. | |
| dc.contributor.author | Ankiewicz, A. | |
| dc.contributor.author | Akhmediev, N. | |
| dc.date.accessioned | 2015-09-16T01:56:55Z | |
| dc.date.available | 2015-09-16T01:56:55Z | |
| dc.date.issued | 2014-09-26 | |
| dc.description.abstract | We present the fifth-order equation of the nonlinear Schrodinger hierarchy. This integrable partial differential ¨ equation contains fifth-order dispersion and nonlinear terms related to it. We present the Lax pair and use Darboux transformations to derive exact expressions for the most representative soliton solutions. This set includes two-soliton collisions and the degenerate case of the two-soliton solution, as well as beating structures composed of two or three solitons. Ultimately, the new quintic operator and the terms it adds to the standard nonlinear Schrodinger equation (NLSE) are found to primarily affect the velocity of solutions, with complicated ¨ flow-on effects. Furthermore, we present a new structure, composed of coincident equal-amplitude solitons, which cannot exist for the standard NLSE. | en_AU |
| dc.description.sponsorship | The authors acknowledge the support of the Australian Research Council (Discovery Project No. DP140100265). N.A. and A.A. acknowledge support from the Volkswagen Stiftung and A.C. acknowledges Endeavour Postgraduate Award support. | en_AU |
| dc.format | 9 pages | en_AU |
| dc.identifier.issn | 1539-3755 | en_AU |
| dc.identifier.uri | http://hdl.handle.net/1885/15430 | |
| dc.publisher | American Physical Society | en_AU |
| dc.relation | http://purl.org/au-research/grants/arc/DP140100265 | en_AU |
| dc.rights | © 2014 American Physical Society. http://www.sherpa.ac.uk/romeo/issn/1539-3755/..."Publisher's version/PDF may be used. On author's personal website, employer's website or institutional repository" from SHERPA/RoMEO site (as at 16/09/15). | en_AU |
| dc.source | Physical Review E | en_AU |
| dc.title | Soliton solutions of an integrable nonlinear Schrödinger equation with quintic terms | en_AU |
| dc.type | Journal article | en_AU |
| local.bibliographicCitation.issue | 3 | en_AU |
| local.contributor.affiliation | Chowdury, A., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University | en_AU |
| local.contributor.affiliation | Kedziora, D. J., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University | en_AU |
| local.contributor.affiliation | Ankiewicz, A., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University | en_AU |
| local.contributor.affiliation | Akhmediev, N., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University | en_AU |
| local.contributor.authoruid | u3671815 | en_AU |
| local.identifier.citationvolume | 90 | en_AU |
| local.identifier.doi | 10.1103/PhysRevE.90.032922 | en_AU |
| local.publisher.url | http://www.aps.org/ | en_AU |
| local.type.status | Published Version | en_AU |