2011•Advances in MathematicsRequires access

Group Invariant Solutions and Conservation Laws of Landau-Lifshitz Equation

Xi-Qiang Liu

Abstract

In this paper,infinitesimal generator and group invariant solutions to Landau-Lifshitz equation via the classical Lie group method have been obtained,at the same time corresponding Lie algebra and the relations between new solutions and olds have been found. At the same time,we also give the conservation laws of Landau-Lifshitz equation by symmetries and the adjoint equations.

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Key concepts: Conservation law, Mathematics, Landau–Lifshitz–Gilbert equation, Homogeneous space, Invariant (physics), Infinitesimal, Mathematical physics, Lie group