Relativistic Dnls and Kaup-Newell Hierarchy
| dc.contributor.author | Pashaev, Oktay | |
| dc.contributor.author | Lee, Jyh Hao | |
| dc.coverage.doi | 10.3842/SIGMA.2017.058 | |
| dc.date.accessioned | 2017-11-15T10:54:00Z | |
| dc.date.available | 2017-11-15T10:54:00Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the nonrelativistic limit c → ∞ it reduces to DNLS equation and preserves integrability at any order of relativistic corrections. The compact explicit representation of the linear problem for this equation becomes possible due to notions of the q-calculus with two bases, one of which is the recursion operator, and another one is the spectral parameter. © 2017, Institute of Mathematics. All rights reserved. | en_US |
| dc.description.sponsorship | Izmir Institute of Technology; Institute of Mathematics, Academia Sinica, Taiwan; Scientific and Technological Research Council of Turkey (TUBITAK 116F206) | en_US |
| dc.identifier.citation | Pashaev, O., and Lee, J. H. (2017). Relativistic DNLS and Kaup-Newell hierarchy. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13. doi:10.3842/SIGMA.2017.058 | en_US |
| dc.identifier.doi | 10.3842/SIGMA.2017.058 | en_US |
| dc.identifier.doi | 10.3842/SIGMA.2017.058 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.scopus | 2-s2.0-85026820848 | |
| dc.identifier.uri | http://doi.org/10.3842/SIGMA.2017.058 | |
| dc.identifier.uri | https://hdl.handle.net/11147/6463 | |
| dc.language.iso | en | en_US |
| dc.publisher | Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine | en_US |
| dc.relation | info:eu-repo/grantAgreement/TUBITAK/MFAG/116F206 | en_US |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Kaup-Newell hierarchy | en_US |
| dc.subject | Q-calculus | en_US |
| dc.subject | Recursion operator | en_US |
| dc.subject | Relativistic DNLS | en_US |
| dc.title | Relativistic Dnls and Kaup-Newell Hierarchy | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Pashaev, Oktay | |
| gdc.author.yokid | 57865 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 13 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2605854161 | |
| gdc.identifier.wos | WOS:000406498000001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.downloads | 1 | |
| gdc.oaire.impulse | 5.0 | |
| gdc.oaire.influence | 4.0563837E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | Relativistic DNLS | |
| gdc.oaire.keywords | Nonlinear Sciences - Exactly Solvable and Integrable Systems | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Q-calculus | |
| gdc.oaire.keywords | Mathematical Physics (math-ph) | |
| gdc.oaire.keywords | Exactly Solvable and Integrable Systems (nlin.SI) | |
| gdc.oaire.keywords | Kaup-Newell hierarchy | |
| gdc.oaire.keywords | Recursion operator | |
| gdc.oaire.keywords | Mathematical Physics | |
| gdc.oaire.popularity | 6.114876E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.views | 1 | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.94905294 | |
| gdc.openalex.normalizedpercentile | 0.71 | |
| gdc.opencitations.count | 1 | |
| gdc.plumx.crossrefcites | 1 | |
| gdc.plumx.mendeley | 3 | |
| gdc.plumx.scopuscites | 6 | |
| gdc.scopus.citedcount | 6 | |
| gdc.wos.citedcount | 6 | |
| relation.isAuthorOfPublication.latestForDiscovery | c8c9d459-e974-479c-b4bf-7d945d084063 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 9af2b05f-28ac-4012-8abe-a4dfe192da5e |