SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU–LIFSHITZ EQUATION

DOI10.1142/S0217732311036644zbMath1274.82095OpenAlexW1991858103MaRDI QIDQ2861110

Penghong Zhong, Shu Wang, Sheng-Tao Chen

Publication date: 12 November 2013

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732311036644

zbMATH Keywords

solutionvortexblow upLandau-Lifshitz

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Statistical mechanics of magnetic materials (82D40) Blow-up in context of PDEs (35B44)

Related Items (5)

Decay rate and energy gap for the singularity solution of the inhomogeneous Landau-Lifshitz equation on \(\mathbb{S}^2\) ⋮ Finite time blowup of multidimensional inhomogeneous isotropic Landau-Lifshitz equation on a hyperbolic space ⋮ Energy decay rate of multidimensional inhomogeneous Landau-Lifshitz-Gilbert equation and Schrödinger map equation on the sphere ⋮ Two blowup solutions for the inhomogeneous isotropic Landau-Lifshitz equation ⋮ SOME EXACT BLOWUP SOLUTIONS TO MULTIDIMENSIONAL SCHRÖDINGER MAP EQUATION ON HYPERBOLIC SPACE AND CONE

Cites Work

• Exact periodic and blow up solutions for 2D Ginzburg-Landau equation
• Nonintegrability of \((2+1)\)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis
• Some exact solutions to multidimensional Landau-Lifshitz equation with uprush external field and anisotropy field
• Blow up problem for Landau-Lifshitz equations in two dimensions
• Some exact nontrivial global solutions with values in unit sphere for two-dimensional Landau–Lifshitz equations
• On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
• Prolongation structure of the Landau–Lifshitz equation
• On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions
• New explicit solutions to the \(n\)-dimensional Landau-Lifshitz equations

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