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→∞ it reduces to DNLS equation and preserves integrability at any order of relativistic corrections. The compact explicit...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148742 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Relativistic DNLS and Kaup-Newell Hierarchy / O.K. Pashaev, J.-H. Lee // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862663429598216192 |
|---|---|
| author | Pashaev, O.K. Lee, J.-H. |
| author_facet | Pashaev, O.K. Lee, J.-H. |
| citation_txt | Relativistic DNLS and Kaup-Newell Hierarchy / O.K. Pashaev, J.-H. Lee // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T15:11:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148742 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:11:52Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Pashaev, O.K. Lee, J.-H. 2019-02-18T18:22:26Z 2019-02-18T18:22:26Z 2017 Relativistic DNLS and Kaup-Newell Hierarchy / O.K. Pashaev, J.-H. Lee // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q55; 37K10 DOI:10.3842/SIGMA.2017.058 https://nasplib.isofts.kiev.ua/handle/123456789/148742 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. This paper is a contribution to the Special Issue on Symmetries and Integrability of Dif ference Equations.
 The full collection is available at http://www.emis.de/journals/SIGMA/SIDE12.html.
 This work was partially supported by Izmir Institute of Technology, Turkey, and Institute of
 Mathematics, Academia Sinica, Taiwan. The work of O.K.P. was supported by the Scientific
 and Technological Research Council of Turkey (TUBITAK), Grant No: TBAG-116F206. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Relativistic DNLS and Kaup-Newell Hierarchy Article published earlier |
| spellingShingle | Relativistic DNLS and Kaup-Newell Hierarchy Pashaev, O.K. Lee, J.-H. |
| title | Relativistic DNLS and Kaup-Newell Hierarchy |
| title_full | Relativistic DNLS and Kaup-Newell Hierarchy |
| title_fullStr | Relativistic DNLS and Kaup-Newell Hierarchy |
| title_full_unstemmed | Relativistic DNLS and Kaup-Newell Hierarchy |
| title_short | Relativistic DNLS and Kaup-Newell Hierarchy |
| title_sort | relativistic dnls and kaup-newell hierarchy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148742 |
| work_keys_str_mv | AT pashaevok relativisticdnlsandkaupnewellhierarchy AT leejh relativisticdnlsandkaupnewellhierarchy |