Relativistic DNLS and Kaup-Newell Hierarchy

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...

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Bibliographic Details
Published inSymmetry, integrability and geometry, methods and applications Vol. 13
Main Authors Pashaev, Oktay K., Lee, Jyh-Hao
Format Journal Article
LanguageEnglish
Published Kiev National Academy of Sciences of Ukraine 25.07.2017
Subjects
Calculus
Integral calculus
Integral equations
Operators (mathematics)
Relativism
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Summary: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 explicit representation of the linear problem for this equation becomes possible due to notions of the [...]-calculus with two bases, one of which is the recursion operator, and another one is the spectral parameter. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2017.058