The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview

@article{Lakshmanan2011TheFW,
  title={The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview},
  author={Muthusamy Lakshmanan},
  journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2011},
  volume={369},
  pages={1280 - 1300}
}
  • M. Lakshmanan
  • Published 5 January 2011
  • Physics
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
The Landau–Lifshitz–Gilbert (LLG) equation is a fascinating nonlinear evolution equation both from mathematical and physical points of view. It is related to the dynamics of several important physical systems such as ferromagnets, vortex filaments, moving space curves, etc. and has intimate connections with many of the well-known integrable soliton equations, including nonlinear Schrödinger and sine-Gordon equations. It can admit very many dynamical structures including spin waves, elliptic… 

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