Bilinearization of multidimensional topological magnets

DOI10.1088/0305-4470/27/3/033zbMath0812.35107OpenAlexW2068156768MaRDI QIDQ4307154

Oktay K. Pashaev, Giulio Soliani, Luigi Martina

Publication date: 26 September 1994

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/3/033

zbMATH Keywords

Heisenberg ferromagnetsHirota form\(\sigma\)- modelclassical magnetic model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Statistical mechanics of magnetic materials (82D40)

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The Lax pair by dimensional reduction of Chern–Simons gauge theory ⋮ The Cauchy problem for a spin-liquid model in three space dimensions ⋮ Topological field theories and integrable models ⋮ Abelian Chern-Simons vortices and holomorphic Burgers hierarchy ⋮ Integrable vortex dynamics in anisotropic planar spin liquid model

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