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Rational Solutions of the H3 and Q1 Models in the ABS Lattice List

2011/05/09 by Ying Shi, Da-jun Zhang
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Applied mathematics #Lattice (music) #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Pure mathematics #Statistical physics #nlin.SI

paper · pdf · doi:10.3842/sigma.2011.046

published as SIGMA 7 (2011), 046, 11 pages

arxiv created 2011/05/09 · openalex publication_date 2011/05/09 · arxiv updated 2011/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.

Citations