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nlin.SIMay 9, 2011
13
citations (OpenAlex)
authors
  • Ying Shi
  • Da-jun Zhang
institutions
  • Shanghai University
arXiv abstractPDF
paper

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

arXiv:1105.1583 · doi:10.3842/SIGMA.2011.046

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.

References in corpus (7)

  • Soliton Solutions for ABS Lattice Equations: I Cauchy Matrix Approach
  • Soliton Solutions for ABS Lattice Equations II: Casoratians and Bilinearization
  • Notes on solutions in Wronskian form to soliton equations: KdV-type
  • Multisoliton solutions to the lattice Boussinesq equation
  • Soliton solutions for Q3
  • A constructive approach to the soliton solutions of integrable quadrilateral lattice equations
  • Elliptic Solutions of ABS Lattice Equations

Cited by in corpus (5)

  • Rational Solutions to the ABS List: Transformation Approach
  • Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps
  • Solutions to the ABS lattice equations via generalized Cauchy matrix approach
  • Rational solutions to the ABS list: Degenerating approach
  • Symmetric discrete AKP and BKP equations
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