Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6463
Title: Relativistic DNLS and Kaup-Newell hierarchy
Authors: Pashaev, Oktay
Lee, Jyh Hao
Keywords: Kaup-Newell hierarchy
Q-calculus
Recursion operator
Relativistic DNLS
Issue Date: Jul-2017
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
Source: 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
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.
URI: http://doi.org/10.3842/SIGMA.2017.058
http://hdl.handle.net/11147/6463
ISSN: 1815-0659
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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