Relativistic DNLS and Kaup-Newell Hierarchy

Symmetry Integrability and Geometry-Methods and Applications

article

Oktay K. Pashaev¹  Jyh-Hao Lee² 

[1] Department of Mathematics, Izmir Institute of Technology;Institute of Mathematics

关键词: Kaup–Newell hierarchy;    relativistic DNLS;    q-calculus;    recursion operator;   

DOI  :  10.3842/SIGMA.2017.058

来源: National Academy of Science of Ukraine

【 摘 要 】

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. 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.

【 授权许可】

Unknown