THE LIOUVILLE INTEGRABLE LATTICE EQUATIONS ASSOCIATED WITH A DISCRETE THREE-BY-THREE MATRIX SPECTRAL PROBLEM

DOI10.1142/S0217979211100291zbMath1333.37107OpenAlexW2068149979MaRDI QIDQ2797146

Xiaojing Li, Xin-Yue Li, Yu-Xia Li

Publication date: 5 April 2016

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979211100291

Mathematics Subject Classification ID

Related Items (1)

A new integrable symplectic map for 4-field Blaszak-Marciniak lattice equations

Cites Work

• Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem
• Integrable theory of the perturbation equations.
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint
• Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov
• On the decomposition of the modified Kadomtsev–Petviashvili equation and explicit solutions
• Integrable couplings of vector AKNS soliton equations
• Nonlinear differential−difference equations
• On some integrable systems related to the Toda lattice
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• A discrete variational identity on semi-direct sums of Lie algebras
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras

This page was built for publication: THE LIOUVILLE INTEGRABLE LATTICE EQUATIONS ASSOCIATED WITH A DISCRETE THREE-BY-THREE MATRIX SPECTRAL PROBLEM