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nlin.SI2017
On decomposition of the ABS lattice equations and related Bäcklund transformations
Danda Zhang, Da-jun Zhang
The Adler-Bobenko-Suris (ABS) list contains all scalar quadrilateral equations which are consistent around the cube. Each equation in the ABS list admits a beautiful decomposition.…
nlin.SI2017
Rational Solutions to the ABS List: Transformation Approach
Danda Zhang, Da-Jun Zhang
In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(), H3(), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklu…