Geodesic
Relativistic DNLS and Kaup–Newell Hierarchy
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Kaup–Newell hierarchy; relativistic DNLS; $q$-calculus; recursion operator. 
@article{SIGMA_2017_13_a57,
     author = {Oktay K. Pashaev and Jyh-Hao Lee},
     title = {Relativistic {DNLS} and {Kaup{\textendash}Newell} {Hierarchy}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2017},
     volume = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a57/}
}
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Oktay K. Pashaev; Jyh-Hao Lee. Relativistic DNLS and Kaup–Newell Hierarchy. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a57/

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