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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 058, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.058 (Mi sigma1258) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Relativistic DNLS and Kaup–Newell Hierarchy

Oktay K. Pashaeva, Jyh-Hao Leeb

a Department of Mathematics, Izmir Institute of Technology, Urla-Izmir 35430, Turkey
b Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan
Full-text PDF (308 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2017.058
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.
Keywords: Kaup–Newell hierarchy; relativistic DNLS; $q$-calculus; recursion operator.
Funding agency Grant number
Scientific and Technological Research Council of Turkey (TÜBITAK) TBAG-116F206
Izmir Institute of Technology, Turkey
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.
Received: April 14, 2017; in final form July 18, 2017; Published online July 25, 2017
Bibliographic databases:
Document Type: Article
MSC: 35Q55; 37K10
Language: English
Citation: Oktay K. Pashaev, Jyh-Hao Lee, “Relativistic DNLS and Kaup–Newell Hierarchy”, SIGMA, 13 (2017), 058, 13 pp.
Citation in format AMSBIB
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