A New Integrable Symplectic Map of Neumann Type

DOI10.1088/0253-6102/47/4/001zbMath1355.37090OpenAlexW1975507527MaRDI QIDQ2960036

Junyi Zhu, Xiangguo Geng

Publication date: 7 February 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/47/4/001

zbMATH Keywords

symplectic mapLiouville integrablilityNeumann constraint

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

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• Integrable symplectic maps
• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• Involutive solutions for toda and langmuir lattices through nonlinearization of lax pairs
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• R-matrix approach to lattice integrable systems
• A New Integrable Symplectic Map of Neumann Type
• A new integrable symplectic map associated with lattice soliton equations
• A trace identity and its applications to the theory of discrete integrable systems

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