Symmetry analysis of and first integrals for the continuum Heisenberg spin chain

DOI10.1017/S1446181100007914zbMath1042.34068OpenAlexW2100682214MaRDI QIDQ3146195

Maria Clara Nucci, Peter G. L. Leach

Publication date: 4 November 2002

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100007914

zbMATH Keywords

symmetrychaosfirst integralHeisenberg spin chain

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Differential equations with fixed critical points. II
• Differential equations with fixed critical points
• The Painlevé property for partial differential equations
• The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability
• On the singularity analysis of ordinary differential equations invariant under time translation and rescaling
• The Painleve test, hidden symmetries and the equation y"+yy'+Ky³=0
• Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: Nonintegrability and chaos
• Painlevé Classification of All Semilinear Partial Differential Equations of the Second Order. II. Parabolic and Higher Dimensional Equations

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