A hierarchy of new discrete integrable equation and its Hamiltonian structure

DOI10.1007/s11766-004-0021-1zbMath1137.37323OpenAlexW1986761740MaRDI QIDQ1430636

Hai-Yong Ding, Xi-Xiang Xu

Publication date: 27 May 2004

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0021-1

zbMATH Keywords

Hamiltonian structureLiouville integrabilitytrace identitylattice equation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Cites Work

• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A new hierarchy of integrable differential-difference equations and Darboux transformation
• A trace identity and its applications to the theory of discrete integrable systems
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