Parametric representation of the finite-band solution of the Heisenberg equation

DOI10.1016/0375-9601(94)90456-1zbMath0961.35507OpenAlexW2035243207MaRDI QIDQ1964421

Ce Wen Cao

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90456-1

zbMATH Keywords

Heisenberg magnetic equationfinite-band potentialnonlinearization of the associated eigenvalue problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items

A numerical study on the \(N\)-periodic wave solutions of two coupled bilinear equations, On different integrable systems sharing the same nondynamical r-matrix, Explicit solutions for a modified \(2+1\)-dimensional coupled Burgers equation by using Darboux transformation, Finite-band solutions of the Dirac soliton equation through a reduction technique, Algebro-geometric constructions of the Heisenberg hierarchy, The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations, Discrete and continuous integrable systems possessing the same non-dynamical \(r\)-matrix., New Neumann system associated with a \(3 \times 3\) matrix spectral problem, An integrable \(\text{SO}(3,\mathbb{R})\)-counterpart of the Heisenberg soliton hierarchy, Complex form, reduction and Lie-Poisson structure for the nonlinearized spectral problem of the Heisenberg hierarchy, GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM, Quasi-periodic solutions of the Heisenberg hierarchy

Cites Work

• Unnamed Item
• Nonlinearization of the Lax system for AKNS hierarchy
• The spectrum of Hill's equation
• Classical Liouville completely integrable systems associated with the solutions of Boussinesq–Burgers’ hierarchy
• On stationary problems for equations of korteweg-de vries type
• An identity among squares of eigenfunctions
• A nonconfocal generator of involutive systems and three associated soliton hierarchies
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• The bi-Hamiltonian formulation of the Landau–Lifshiftz equation
• The spectral theory of a functional-difference operator in conformal field theory
• On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain
• Nonlinear wave equations and constrained harmonic motion