Relativistic DNLS and Kaup-Newell Hierarchy

• Published in: arXiv.org
• Main Authors: Pashaev, Oktay K, Lee, Jyh-Hao
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 25.07.2017
• Subjects: Integral calculus; Integral equations; Mathematics - Mathematical Physics; Physics - Exactly Solvable and Integrable Systems; Physics - Mathematical Physics; Relativism; Relativistic effects

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....