Relativistic DNLS and Kaup-Newell Hierarchy

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Pashaev, O.K., Lee, J.-H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148742
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...