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Rational Solutions to the ABS List: Transformation Approach

Vernadsky National Library of Ukraine

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Title Rational Solutions to the ABS List: Transformation Approach
 
Creator Zhang, D.
Zhang, D.J.
 
Description In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified τ function in Casoratian form which obeys a bilinear superposition formula.
 
Date 2019-02-19T19:28:50Z
2019-02-19T19:28:50Z
2017
 
Type Article
 
Identifier Rational Solutions to the ABS List: Transformation Approach / D. Zhang, D.J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 35Q51; 35Q55
DOI:10.3842/SIGMA.2017.078
http://dspace.nbuv.gov.ua/handle/123456789/149259
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України