Relativistic DNLS and Kaup-Newell Hierarchy

• Published in: Symmetry, integrability and geometry, methods and applications Vol. 13
• Main Authors: Pashaev, Oktay K., Lee, Jyh-Hao
• Format: Journal Article
• Language: English
• Published: Kiev National Academy of Sciences of Ukraine 25.07.2017
• Subjects: Calculus; Integral calculus; Integral equations; Operators (mathematics); Relativism

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 [...] it reduces to DNLS equation and preserves integrability at any order of relativistic corrections. The compact explic...