A FAMILY OF NEW DISCRETE EQUATIONS ASSOCIATED WITH LOTKA–VOLTERRA LATTICE AND ITS INTEGRABLE COUPLINGS
DOI10.1142/S021797920703734XzbMath1120.37047WikidataQ126225870 ScholiaQ126225870MaRDI QIDQ3595342
Yan-Zhen Yang, Ye-Peng Sun, Deng-Yuan Chen
Publication date: 10 August 2007
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
conservation lawHamiltonian structurealgebraic systemdiscrete equationintegrable couplingLotka-Volterra lattice
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)
Related Items (2)
Cites Work
- Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
- Integrable theory of the perturbation equations.
- The conservation laws of some discrete soliton systems.
- Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- Nonlinear differential–difference equations and Fourier analysis
- R-matrix approach to lattice integrable systems
- Hamiltonian structure of discrete soliton systems
- Integrable semi-discretization of the coupled modified KdV equations
- Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
- Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices
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