INTEGRABLE COUPLING SYSTEMS OF HAMILTONIAN LATTICE EQUATIONS BY SEMI-DIRECT SUMS OF LIE ALGEBRAS

DOI10.1142/S0217984910022755zbMath1247.37077MaRDI QIDQ4932383

Shengju Sang, Jun Du, Li-Li Zhu, Xiao-Yan Ma

Publication date: 1 October 2010

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

zbMATH Keywords

Hamiltonian structureLiouville integrabilityHamiltonian latticediscrete isospectral eigenvalue problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

• Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations
• A lattice hierarchy with a free function and its reductions to the Ablowitz-Ladik and Volterra hierarchies
• A hierarchy of discrete Hamiltonian equations and its binary nonlinearization by symmetry constraint
• SOME EXPANDING SEMI-DIRECT SUMS OF LIE ALGEBRA $\bar{G}$ AND ITS APPLICATION
• Integrable discretizations for Toda-type lattice soliton equations
• A new integrable hierarchy of lattice equations
• Nonlinear differential−difference equations
• A new integrable symplectic map associated with lattice soliton equations

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