Rational solutions to the ABS list: Degenerating approach

Song-lin Zhao; Da-jun Zhang

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arXiv · 1703.05669

Rational solutions to the ABS list: Degenerating approach

Song-lin Zhao·Da-jun Zhang

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Abstract

In the paper we first construct rational solutions for the Nijhoff-Quispel-Capel (NQC) equation by means of bilinear method. These solutions can be transferred to those of Q3$_\delta$ equation in the Adler-Bobenko-Suris (ABS) list. Then making use of degeneration relation we obtain rational solutions for Q2, Q1$_\delta$, H3$_\delta$, H2 and H1. These rational solutions are in Casoratian form and the basic column vector satisfies an extended condition equation set.

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Song-lin Zhao, Da-jun Zhang. 2017-03-16. Rational solutions to the ABS list: Degenerating approach. https://arxiv.org/abs/1703.05669

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