Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: Nonintegrability and chaos

DOI10.1063/1.529756zbMath1046.82512OpenAlexW2028382979MaRDI QIDQ4809500

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Publication date: 30 August 2004

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

Full work available at URL: https://doi.org/10.1063/1.529756

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Partial differential equations of mathematical physics and other areas of application (35Q99) Statistical mechanics of magnetic materials (82D40)

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Cites Work

• The Riemann boundary problem on Riemann surfaces and the inverse scattering problem for the Landau-Lifschitz equation
• On classes of integrable systems and the Painlevé property
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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