Soliton solutions for Q3

DOI10.1088/1751-8113/41/14/142001zbMath1136.37036arXiv0801.0806OpenAlexW2003193122MaRDI QIDQ5460416

Jarmo Hietarinta, Frank W. Nijhoff, James R. Atkinson

Publication date: 28 April 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0806

zbMATH Keywords

integrable lattice equationsBäcklund transformation\(\tau \)-functionHirota-Miwa equationNQC equationAdler-Bobenko-Suris classification4-to-1 correspondence

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51)

Related Items (12)

Rational solutions to Q3 _δ in the Adler-Bobenko-Suris list and degenerations ⋮ Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach ⋮ Conservation laws of some lattice equations ⋮ Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation ⋮ Rational solutions to the ABS list: transformation approach ⋮ On one-soliton solutions of the Q2 equation in the ABS List ⋮ A constructive approach to the soliton solutions of integrable quadrilateral lattice equations ⋮ A discrete negative AKNS equation: generalized Cauchy matrix approach ⋮ Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps ⋮ Hirota's method and the search for integrable partial difference equations. 1. Equations on a 3 × 3 stencil ⋮ Multisoliton solutions to the lattice Boussinesq equation ⋮ Symmetric discrete AKP and BKP equations

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