Surface-embeddability approach to the dynamics of the inhomogeneous Heisenberg spin chain

DOI10.1063/1.531625zbMath0868.35108OpenAlexW2048521796MaRDI QIDQ5284815

Partha Guha, Radha Balakrishnan

Publication date: 21 August 1997

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

Full work available at URL: https://doi.org/10.1063/1.531625

zbMATH Keywords

generalized nonlinear Schrödinger equationHeisenberg spin chainspin evolution equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Surfaces in Euclidean and related spaces (53A05) Equations in function spaces; evolution equations (58D25)

Related Items (4)

An inhomogeneous space-time patching model based on a nonlocal and nonlinear Schrödinger equation ⋮ Parametrically driven localized magnetic excitations with spatial inhomogeneity ⋮ Moving space curve equations and a family of coupled KdV type systems. ⋮ Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation

Cites Work

• Inverse spectral transform analysis of a nonlinear Schrödinger equation with x-dependent coefficients
• Inverse scattering method with variable spectral parameter
• Solitons on moving space curves
• Unified approach to strings and vortices with soliton solutions
• On the geometry of the inhomogeneous Heisenberg ferromagnet: nonintegrable case
• On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions

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