On the geometric equivalence of certain discrete integrable Heisenberg ferromagnetic spin chains

DOI10.1063/1.532715zbMath1059.82509OpenAlexW2012002385MaRDI QIDQ4701875

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Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532715

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

An inhomogeneous space-time patching model based on a nonlocal and nonlinear Schrödinger equation ⋮ Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients ⋮ The transmission property of the discrete Heisenberg ferromagnetic spin chain

Cites Work

• Coherent structures for the Ishimori equation. II: Time-dependent boundaries
• An elementary geometric characterization of the integrable motions of a curve
• Nonlinear dynamics of weak ferromagnetic spin chains
• Strings, rods, vortices and wave equations
• Discretised Hirota equation, equivalent spin chain and Backlund transformations
• Nonlinear differential–difference equations and Fourier analysis
• Solitons on moving space curves
• Integrability and the motion of curves
• Solitons, Euler’s equation, and vortex patch dynamics
• Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: Nonintegrability and chaos
• Integrable dynamics of a discrete curve and the Ablowitz–Ladik hierarchy
• On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain
• A soliton on a vortex filament

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