A note on a Bäcklund transformation for the continuous Heisenberg model

DOI10.1016/0375-9601(95)00367-CzbMath1020.82537OpenAlexW2036098369MaRDI QIDQ1965632

Annalisa M. Calini

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00367-c

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

Solitons and quasi-Grammians of the generalized lattice Heisenberg magnet model ⋮ Multisolitons of the \(\mathrm{U}(N)\) generalized Heisenberg magnet model and the Yang-Baxter relation ⋮ Linear instability of the Peregrine breather: numerical and analytical investigations ⋮ Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation ⋮ Connecting geometry, topology and spectra for finite-gap NLS potentials ⋮ Generalized lattice Heisenberg magnet model and its quasideterminant soliton solutions

Cites Work

• Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
• Gauge theory of Bäcklund transformations. II
• Poisson geometry of the filament equation
• Knotted Elastic Curves in R ³
• Integrability and the motion of curves
• Solitons, Euler’s equation, and vortex patch dynamics
• A soliton on a vortex filament
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