Запис Детальніше

Relativistic DNLS and Kaup-Newell Hierarchy

Vernadsky National Library of Ukraine

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Title Relativistic DNLS and Kaup-Newell Hierarchy
 
Creator Pashaev, O.K.
Lee, J.-H.
 
Description 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→∞ 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.
 
Date 2019-02-18T18:22:26Z
2019-02-18T18:22:26Z
2017
 
Type Article
 
Identifier Relativistic DNLS and Kaup-Newell Hierarchy / O.K. Pashaev, J.-H. Lee // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 35Q55; 37K10
DOI:10.3842/SIGMA.2017.058
http://dspace.nbuv.gov.ua/handle/123456789/148742
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України