The algebraic structure of discrete zero curvature equations associated with integrable couplings and application to enlarged Volterra systems

DOI10.1007/s11425-008-0111-2zbMath1181.35217OpenAlexW2043927956MaRDI QIDQ1042838

Lin Luo, En-gui Fan

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0111-2

zbMATH Keywords

integrable couplingsdiscrete zero curvature equation\(\tau\)-symmetry algebra

Mathematics Subject Classification ID

Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling, Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System, Variational identities and applications to Hamiltonian structures of soliton equations, A novel kind of a multicomponent hierarchy of discrete soliton equations and its application, The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures, Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies, Bi-integrable couplings of a Kaup-Newell type soliton hierarchy and their bi-Hamiltonian structures

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