NEW INTEGRABLE LATTICE HIERARCHY AND ITS INTEGRABLE COUPLING

DOI10.1142/S0217979209053114zbMath1211.37091MaRDI QIDQ3655690

Zhu Li, Huan He Dong

Publication date: 8 January 2010

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

zbMATH Keywords

Hamiltonian structureintegrable couplingdiscrete integrable systemdiscrete zero curvature equation

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Constructing nonlinear discrete integrable Hamiltonian couplings

Cites Work

• Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
• Integrable theory of the perturbation equations.
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Enlarging spectral problems to construct integrable couplings of soliton equations
• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• Positive and negative hierarchies of nonlinear integrable lattice models and three integrable coupling systems associated with a discrete spectral problem
• K symmetries and tau symmetries of evolution equations and their Lie algebras
• Nonlinear differential−difference equations
• A new hierarchy of integrable differential-difference equations and Darboux transformation
• R-matrix approach to lattice integrable systems
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• A direct method for integrable couplings of TD hierarchy

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