A hierarchy of Liouville integrable lattice equations and its integrable coupling systems
DOI10.1016/j.cnsns.2010.08.001zbMath1221.37152OpenAlexW2006220901MaRDI QIDQ718481
Lei-Yu Tang, Jian-Cong Fan, Xue-Hua Li
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.08.001
Hamiltonian structureLiouville integrabletrace identityvariational identitydiscrete zero curvature representationdiscrete integrable coupling systems
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60)
Cites Work
- Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
- Integrable theory of the perturbation equations.
- A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system
- Positive and negative hierarchies of nonlinear integrable lattice models and three integrable coupling systems associated with a discrete spectral problem
- Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
- Binary constrained flows and separation of variables for soliton equations
- Nonlinear differential−difference equations
- Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras
- R-matrix approach to lattice integrable systems
- Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
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