The Heisenberg magnet equation and the Birkhoff factorization

DOI10.1007/S11565-007-0010-4zbMath1181.35215OpenAlexW2052905856MaRDI QIDQ1042595

Saša Krešić-Jurić

Publication date: 14 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-007-0010-4

zbMATH Keywords

integrable systemsloop groupsBirkhoff factorizationHeisenberg magnet equation

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51)

Related Items (1)

CONSERVED QUANTITIES IN THE GENERALIZED HEISENBERG MAGNET (GHM) MODEL

Cites Work

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• Loop groups and equations of KdV type
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• The Landau-Lifshitz equation, elliptic curves and the Ward transform
• GROUP THEORETIC FORMULATION OF THE SEGAL-WILSON APPROACH TO INTEGRABLE SYSTEMS WITH APPLICATIONS
• A loop group approach to the C. Neumann problem and Moser–Veselov factorization
• AKNS hierarchy, self-similarity, string equations and the Grassmannian

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