Complex form, reduction and Lie-Poisson structure for the nonlinearized spectral problem of the Heisenberg hierarchy

DOI10.1016/S0378-4371(01)00562-3zbMath0979.82020MaRDI QIDQ5951408

Dianlou Du

Publication date: 6 January 2002

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

finite-dimensional integrable systemHeisenberg magnetic equationLie group homomorphism

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Symplectic realizations and action-angle coordinates for the Lie-Poisson system of Dirac hierarchy, Algebro-geometric constructions of the Heisenberg hierarchy, New Neumann system associated with a \(3 \times 3\) matrix spectral problem, On the relationship between the classical Dicke-Jaynes-Cummings-Gaudin model and the nonlinear Schrödinger equation, An integrable \(\text{SO}(3,\mathbb{R})\)-counterpart of the Heisenberg soliton hierarchy, Quasi-periodic solutions of the Heisenberg hierarchy, Integrable symplectic maps via reduction of Bäcklund transformation, Algebraic-geometrical solutions of three (2 + 1)-dimensional nonlinear equations via Hamiltonian approach, Bargmann type systems for the generalization of Toda lattices, From nonlinear Schrödinger hierarchy to some (2+1)-dimensional nonlinear pseudodifferential equations, An alternative approach to solve the mixed AKNS equations

Cites Work

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