The Gauge Equivalent Structure of the Landau-Lifshitz Equation and Its Applications(General)

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概要

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• By introducing the conception of given curvature formulation for partial differential equations, we show that the Landau-Lifshitz equation (LLE) is gauge equivalent to a nonlinear Schrodinger-like equation, which answers a question proposed by Bordag and Yanovski. As a direct consequence, explicit first-order approximate 1-soliton solutions (with respect to the interaction anisotropy) to the LLE are constructed from those to the nonlinear Schrodinger-like equation.

• 社団法人日本物理学会の論文
• 2003-01-15

著者

• Ding Qing

  Institute Of Mathematics And Laboratory For Intelligent Information Processing Fudan University

• ZHU Zuonong

  Department of Applied Mathematics, Shanghai Jiaotong University

• Zhu Z

  Department Of Applied Mathematics Shanghai Jiaotong University

• Zhu Zuonong

  Ccast (world Lab.):department Of Mathematics Hong Kong Baptist University

• Zhu Zuonong

  Department Of Applied Mathematics Shanghai Jiaotong University

• Zhu Z

  Ccast (world Laboratory):department Of Mathematics Hong Kong Baptist University

関連論文

• The Gauge Equivalent Structure of the Landau-Lifshitz Equation and Its Applications(General)
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• New Lax Representation and Integrable Discretization of the Relativistic Volterra Lattice
• A New Lax Integrable Hierarchy and Its Hamiltonian Form
• Some New Nonlinear Defferential-Difference Integrable Hierarchies
• The Gauge Equivalent Structure of the Landau-Lifshitz Equation and Its Applications
• On spectral characterizations of minimal hypersurfaces in a sphere

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