Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions

DOI10.1007/s11232-014-0135-4zbMath1303.82038OpenAlexW2030223845MaRDI QIDQ461591

Ramil' F. Bikbaev, Alexander Ivanovich Bobenko, Alexander R. Its

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-014-0135-4

zbMATH Keywords

theta functionfinite-gap integrationferromagnetismmultisoliton solution

Mathematics Subject Classification ID

Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) PDEs in connection with statistical mechanics (35Q82)

Related Items (9)

Solitons in the domain structure of a two-axis ferromagnet ⋮ Recent results for the Landau-Lifshitz equation ⋮ Solitons in a continuous classical Haldane-Shastry spin chain ⋮ Stability of solitons of the Landau-Lifshitz equation with planar anisotropy ⋮ Interaction of a breather with a magnetization wave in a ferromagnet with light-axis anisotropy ⋮ Traveling domain walls in chiral ferromagnets ⋮ Stability in the energy space for chains of solitons of the Landau-Lifshitz equation ⋮ A generalization of the Landau-Lifschitz equation: breathers and rogue waves ⋮ Invariant manifolds and separation of the variables for integrable chains

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