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Rational Solutions to the ABS List: Transformation Approach
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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In the paper we derive rational solutions for the lattice potential modified Korteweg–de Vries equation, and $\mathrm{Q2}$, $\mathrm{Q1}(\delta)$, $\mathrm{H3}(\delta)$, $\mathrm{H2}$ and $\mathrm{H1}$ in the Adler–Bobenko–Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified $\tau$ function in Casoratian form which obeys a bilinear superposition formula.
Keywords: rational solutions; Bäcklund transformation; Casoratian; ABS list. 
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     author = {Danda Zhang and Zhang Da-Jun},
     title = {Rational {Solutions} to the {ABS} {List:} {Transformation} {Approach}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a77/}
}
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Danda Zhang; Zhang Da-Jun. Rational Solutions to the ABS List: Transformation Approach. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a77/

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