Relativistic DNLS and Kaup-Newell Hierarchy
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 \(c \rightarrow \infty\) it reduces to DNLS equation and preserves integrability at any order of relativistic corrections....
Saved in:
| Published in | arXiv.org |
|---|---|
| Main Authors | , |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
25.07.2017
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| 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 \(c \rightarrow \infty\) 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. |
|---|---|
| AbstractList | SIGMA 13 (2017), 058, 13 pages 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 $c \rightarrow \infty$ 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. 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 \(c \rightarrow \infty\) 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. |
| Author | Lee, Jyh-Hao Pashaev, Oktay K |
| Author_xml | – sequence: 1 givenname: Oktay surname: Pashaev middlename: K fullname: Pashaev, Oktay K – sequence: 2 givenname: Jyh-Hao surname: Lee fullname: Lee, Jyh-Hao |
| BackLink | https://doi.org/10.48550/arXiv.1704.04078$$DView paper in arXiv https://doi.org/10.3842/SIGMA.2017.058$$DView published paper (Access to full text may be restricted) |
| BookMark | eNotj1FLwzAURoMoOOd-gE8WfJTWm5vcJnmUOZ1YJkzfS9pmmFHbmnbT_Xvn5tP3cvg454KdNm3jGLvikEhNBHc2_PhtwhXIBCQofcJGKASPtUQ8Z5O-XwMApgqJxIjdLl1tB7_1_eDL6GGRvUW2qaIXu-nihft2dR3NvQs2lB-7S3a2snXvJv87ZsvH2ft0HmevT8_T-yy2hBBTZZzjArQGUcq0MiUoyVO9wkoaVFQQ2bSyHIvSOF4IroUy2jouVVqAGLPr4-mhI--C_7Rhl__15IeePXFzJLrQfm1cP-TrdhOavVGOoMggCQDxC2oPTIo |
| ContentType | Paper Journal Article |
| Copyright | 2017. This work is published under http://creativecommons.org/licenses/by-sa/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by-sa/4.0 |
| Copyright_xml | – notice: 2017. This work is published under http://creativecommons.org/licenses/by-sa/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. – notice: http://creativecommons.org/licenses/by-sa/4.0 |
| DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PIMPY PQEST PQQKQ PQUKI PRINS PTHSS AKZ ALA GOX |
| DOI | 10.48550/arxiv.1704.04078 |
| DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni Edition) ProQuest Central ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea SciTech Premium Collection ProQuest Engineering Collection Engineering Database Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection arXiv Mathematics arXiv Nonlinear Science arXiv.org |
| DatabaseTitle | Publicly Available Content Database Engineering Database Technology Collection ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic Engineering Collection |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository – sequence: 2 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 2331-8422 |
| ExternalDocumentID | 1704_04078 |
| Genre | Working Paper/Pre-Print |
| GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PIMPY PQEST PQQKQ PQUKI PRINS PTHSS AKZ ALA GOX |
| ID | FETCH-LOGICAL-a520-5d9ee1308803c46d9c074168f2d49275b55a6da12bc9e1b3183798ae1476b03 |
| IEDL.DBID | 8FG |
| IngestDate | Mon Jan 08 05:48:00 EST 2024 Thu Oct 10 15:34:52 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a520-5d9ee1308803c46d9c074168f2d49275b55a6da12bc9e1b3183798ae1476b03 |
| OpenAccessLink | https://www.proquest.com/docview/2075925300?pq-origsite=%requestingapplication% |
| PQID | 2075925300 |
| PQPubID | 2050157 |
| ParticipantIDs | arxiv_primary_1704_04078 proquest_journals_2075925300 |
| PublicationCentury | 2000 |
| PublicationDate | 20170725 |
| PublicationDateYYYYMMDD | 2017-07-25 |
| PublicationDate_xml | – month: 07 year: 2017 text: 20170725 day: 25 |
| PublicationDecade | 2010 |
| PublicationPlace | Ithaca |
| PublicationPlace_xml | – name: Ithaca |
| PublicationTitle | arXiv.org |
| PublicationYear | 2017 |
| Publisher | Cornell University Library, arXiv.org |
| Publisher_xml | – name: Cornell University Library, arXiv.org |
| SSID | ssj0002672553 |
| Score | 1.6751049 |
| SecondaryResourceType | preprint |
| Snippet | By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the... SIGMA 13 (2017), 058, 13 pages By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the... |
| SourceID | arxiv proquest |
| SourceType | Open Access Repository Aggregation Database |
| SubjectTerms | Integral calculus Integral equations Mathematics - Mathematical Physics Physics - Exactly Solvable and Integrable Systems Physics - Mathematical Physics Relativism Relativistic effects |
| SummonAdditionalLinks | – databaseName: arXiv.org dbid: GOX link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdV1LTwMhEJ60PXkxGjWtVsPBK3GXZZbl2Ki18VETH8neNrBAbNKYpq_ovxfYbTwYrzAcZoD5Zhj4ALjkvoMleU0L6TjlKAwtOGrqmEWXK5ua-BnM0zSfvPP7EssOkN1bGLX8mm0bfmC9ukpFoCENpaYudBkLV7bunsumOBmpuFr5XzkfY8amP6414sX4APbbQI-Mmpk5hI79PIL27tk2siOTm-njK_GZPHlQmwX17sbO52QyC0-C64_vY3gZ375dT2j7XQFV6HMwNNJajwh-Q2Q1z42sY7RTOGa4ZAI1osqNSpmupU112EtCFt4aXOQ6yU6g5_N92weimWMc0TljfG5Uh6MZFAqNh1InEy0G0I8qVouGj6IK2ldR-wEMd1pX7VpcVcxHBZJhliSn_488gz0WACsJvA1D6K2XG3vu4XatL6LNfwAO5n0k priority: 102 providerName: Cornell University |
| Title | Relativistic DNLS and Kaup-Newell Hierarchy |
| URI | https://www.proquest.com/docview/2075925300 https://arxiv.org/abs/1704.04078 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1JSwMxFA7aInhzpWotc_AanclkmZwEtQtqa6kKvQ1ZsVDasRt68bebpFM9CF4Ck5xeJnnf2_I9AC6wW0AxVTDjFkNMmIYZJhJaZIilwiQ6NIPp9mjnFd8PybAMuM3LssqNTgyKWk-Vj5H7SAjhiKRxfF28Q981ymdXyxYa26CaIMb8qc5a7Z8YC6LMWczpOpkZqLuuxOxjtLpMmKc39SksZ5OGqT-qOOBLaw9U-6Iws32wZSYHYCeUZar5IShr1VaBTTm66z0-R87zjx7EsoBOPZnxOOqM_BNi9fZ5BAat5sttB5btDaAgzmcjmhvjEMRdoFRhqrkK1lFmkcYcMSIJEVSLBEnFTSL93WM8c7uHGZVxegwqk-nE1EAkkUWYEGu1dr6U8qEcwgTRDnotjyU7AbUgYl6s-StyL30epD8B9Y3UeXl25_nvTp_-v3wGdpEHudhzPdRBZTFbmnMH0QvZCP-hAao3zV5_4L7aT0M3dr-a36YGkZE |
| link.rule.ids | 228,230,783,787,888,12779,21402,27939,33387,33758,43614,43819 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LTwIxEG4UYvTmM6Coe_Ba3e222-3JRIWgwIYgJtw2fUYSAiuv6L-3LYseTLxuT9PHfDPfzH4DwA22CyhMJEyZwRATqmCKiYAGaWISriPlh8H0sqT9hl9GZFQSbouyrXLrE72jVjPpOHLHhBCGSByG98UHdFOjXHW1HKGxC6pOqsre6upDM-sPflgWlFAbM8ebcqYX77rj88_x-jaiTuDUFbFsVOo__XHGHmFah6Da54WeH4EdPT0Ge74xUy5OQNmttvZ6ysFT1n0NbO4fdPiqgNZB6ckkaI_dT8Ty_esUDFrN4WMblgMOICc2ayOKaW0xxD6hWOJEMenjo9QghRmiRBDCE8UjJCTTkXCvj7LU7h-miQjjM1CZzqa6BgKBDMKEGKOUzaakI3MI5URZ8DUsFLQOat7EvNgoWOTO-txbXweNrdV5eXsX-e9en_-_fA3228NeN-8-Z50LcIAc5IVO-aEBKsv5Sl9awF6Kq_JUvgG_BZII |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Relativistic+DNLS+and+Kaup-Newell+Hierarchy&rft.jtitle=arXiv.org&rft.au=Pashaev%2C+Oktay+K&rft.au=Lee%2C+Jyh-Hao&rft.date=2017-07-25&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.1704.04078 |