Solitons in a continuous classical Haldane-Shastry spin chain

DOI10.1016/j.physleta.2015.09.014zbMath1349.37076arXiv1504.00873OpenAlexW1640025075MaRDI QIDQ341292

Tianci Zhou, Michael Stone

Publication date: 16 November 2016

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

Full work available at URL: https://arxiv.org/abs/1504.00873

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

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• Anomaly/transport in an ideal Weyl gas
• Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions
• Exact partition function of \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
• The nonlinear stability of a heavy rigid plate supported by flexible columns
• Numerical Methods for the Landau--Lifshitz Equation
• Algebraic Solitary Waves in Stratified Fluids
• Leapfrogging vortex rings in the Landau–Lifshitz equation
• The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview
• The physics and mathematics of Calogero particles
• The classical hydrodynamics of the Calogero–Sutherland model
• Multi-soliton-like solutions to the Benjamin–Ono equation
• On the stability of KdV multi‐solitons
• Yang-Baxter equation in long-range interacting systems
• Integrability of Calogero-Moser Spin System
• ‘‘Spinon gas’’ description of theS=1/2 Heisenberg chain with inverse-square exchange: Exact spectrum and thermodynamics
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Exchange operator formalism for integrable systems of particles
• Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model
• Integrals of motion of the Haldane-Shastry model
• The open Haldane–Shastry chain: thermodynamics and criticality
• On the curvature and torsion of an isolated vortex filament
• Internal waves of permanent form in fluids of great depth
• A soliton on a vortex filament
• Numerical Analysis and Its Applications

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