Nonlinear Dynamics of Moving Curves and Surfaces: Applications to Physical Systems

@article{Murugesh2004NonlinearDO,
  title={Nonlinear Dynamics of Moving Curves and Surfaces: Applications to Physical Systems},
  author={S. Murugesh and Muthusamy Lakshmanan},
  journal={Int. J. Bifurc. Chaos},
  year={2004},
  volume={15},
  pages={51-63}
}
The subject of moving curves (and surfaces) in three-dimensional space (3-D) is a fascinating topic not only because it represents typical nonlinear dynamical systems in classical mechanics, but also finds important applications in a variety of physical problems in different disciplines. Making use of the underlying geometry, one can very often relate the associated evolution equations to many interesting nonlinear evolution equations, including soliton possessing nonlinear dynamical systems… 

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