On one-soliton solutions of the Q2 equation in the ABS list

Abstract In this paper, we derive seed and 1-soliton solutions of the Q2 equation in the Adler–Bobenko–Suris list. The seed solutions of Q2 are obtained using those of Q1(δ) $\mbox{Q}1(\delta)$ and an non-auto Bäcklund transformation connecting them. Then using an auto Bäcklund transformation, two t...

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Bibliographic Details
Main Authors: Qiang Cheng, Cheng Zhang, Danda Zhang, Da-jun Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-1977-8