New Lax pairs of the Toda lattice and the nonlinearization under a higher-order Bargmann constraint

DOI10.1063/1.3693975zbMath1274.37037OpenAlexW2035461014MaRDI QIDQ2861737

Tongqian Zhang, Fangjiao Yi, Jie Su, Huan He Dong

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3693975

zbMATH Keywords

Lax pairsBargmann symmetry constraint

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Statistical mechanics of plasmas (82D10) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy ⋮ A new integrable symplectic map for 4-field Blaszak-Marciniak lattice equations ⋮ Conservation laws and \(\tau\)-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy ⋮ A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems

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