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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 |
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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